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Finding the Fourth Proportional to 157.30, 216.97 and 102.02

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Solution

The fourth proportional to 157.30, 216.97 and 102.02 is: 140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.30 : 216.97 = 102.02 : x
  2. Step 2: Convert to fraction form
    157.30/216.97 = 102.02/x
  3. Step 3: Cross multiply
    157.30x = 216.97 × 102.02
  4. Step 4: Simplify right side
    157.30x = 22,133.94
  5. Step 5: Solve for x
    x = 22,133.94/157.30
  6. Step 6: Final answer
    x = 140.71

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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.