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Finding the Fourth Proportional to 71.77, 99.06 and 64.93

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Solution

The fourth proportional to 71.77, 99.06 and 64.93 is: 89.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.77 : 99.06 = 64.93 : x
  2. Step 2: Convert to fraction form
    71.77/99.06 = 64.93/x
  3. Step 3: Cross multiply
    71.77x = 99.06 × 64.93
  4. Step 4: Simplify right side
    71.77x = 6,431.97
  5. Step 5: Solve for x
    x = 6,431.97/71.77
  6. Step 6: Final answer
    x = 89.62

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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.