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Finding the Fourth Proportional to 96.69, 133.56 and 64.02

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Solution

The fourth proportional to 96.69, 133.56 and 64.02 is: 88.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.69 : 133.56 = 64.02 : x
  2. Step 2: Convert to fraction form
    96.69/133.56 = 64.02/x
  3. Step 3: Cross multiply
    96.69x = 133.56 × 64.02
  4. Step 4: Simplify right side
    96.69x = 8,550.51
  5. Step 5: Solve for x
    x = 8,550.51/96.69
  6. Step 6: Final answer
    x = 88.43

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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.