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Finding the Fourth Proportional to 157.26, 216.94 and 102.01

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Solution

The fourth proportional to 157.26, 216.94 and 102.01 is: 140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.26 : 216.94 = 102.01 : x
  2. Step 2: Convert to fraction form
    157.26/216.94 = 102.01/x
  3. Step 3: Cross multiply
    157.26x = 216.94 × 102.01
  4. Step 4: Simplify right side
    157.26x = 22,129.51
  5. Step 5: Solve for x
    x = 22,129.51/157.26
  6. Step 6: Final answer
    x = 140.72

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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.