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Finding the Fourth Proportional to 71.36, 106.53 and 66.50

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Solution

The fourth proportional to 71.36, 106.53 and 66.50 is: 99.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.36 : 106.53 = 66.50 : x
  2. Step 2: Convert to fraction form
    71.36/106.53 = 66.50/x
  3. Step 3: Cross multiply
    71.36x = 106.53 × 66.50
  4. Step 4: Simplify right side
    71.36x = 7,083.91
  5. Step 5: Solve for x
    x = 7,083.91/71.36
  6. Step 6: Final answer
    x = 99.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.