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Finding the Fourth Proportional to 91.10, 136.57 and 56.77

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Solution

The fourth proportional to 91.10, 136.57 and 56.77 is: 85.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.10 : 136.57 = 56.77 : x
  2. Step 2: Convert to fraction form
    91.10/136.57 = 56.77/x
  3. Step 3: Cross multiply
    91.10x = 136.57 × 56.77
  4. Step 4: Simplify right side
    91.10x = 7,753.47
  5. Step 5: Solve for x
    x = 7,753.47/91.10
  6. Step 6: Final answer
    x = 85.11

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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.