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Finding the Fourth Proportional to 157.02, 216.59 and 101.84

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Solution

The fourth proportional to 157.02, 216.59 and 101.84 is: 140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.02 : 216.59 = 101.84 : x
  2. Step 2: Convert to fraction form
    157.02/216.59 = 101.84/x
  3. Step 3: Cross multiply
    157.02x = 216.59 × 101.84
  4. Step 4: Simplify right side
    157.02x = 22,055.93
  5. Step 5: Solve for x
    x = 22,055.93/157.02
  6. Step 6: Final answer
    x = 140.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.