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Finding the Fourth Proportional to 71.17, 106.72 and 56.77

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Solution

The fourth proportional to 71.17, 106.72 and 56.77 is: 85.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.17 : 106.72 = 56.77 : x
  2. Step 2: Convert to fraction form
    71.17/106.72 = 56.77/x
  3. Step 3: Cross multiply
    71.17x = 106.72 × 56.77
  4. Step 4: Simplify right side
    71.17x = 6,058.09
  5. Step 5: Solve for x
    x = 6,058.09/71.17
  6. Step 6: Final answer
    x = 85.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.