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Finding the Fourth Proportional to 96.69, 133.42 and 53.02

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Solution

The fourth proportional to 96.69, 133.42 and 53.02 is: 73.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.69 : 133.42 = 53.02 : x
  2. Step 2: Convert to fraction form
    96.69/133.42 = 53.02/x
  3. Step 3: Cross multiply
    96.69x = 133.42 × 53.02
  4. Step 4: Simplify right side
    96.69x = 7,073.59
  5. Step 5: Solve for x
    x = 7,073.59/96.69
  6. Step 6: Final answer
    x = 73.16

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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.