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Finding the Fourth Proportional to 73.12, 100.98 and 65.48

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Solution

The fourth proportional to 73.12, 100.98 and 65.48 is: 90.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.12 : 100.98 = 65.48 : x
  2. Step 2: Convert to fraction form
    73.12/100.98 = 65.48/x
  3. Step 3: Cross multiply
    73.12x = 100.98 × 65.48
  4. Step 4: Simplify right side
    73.12x = 6,612.17
  5. Step 5: Solve for x
    x = 6,612.17/73.12
  6. Step 6: Final answer
    x = 90.43

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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.