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Finding the Fourth Proportional to 91.57, 137.13 and 64.24

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Solution

The fourth proportional to 91.57, 137.13 and 64.24 is: 96.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.57 : 137.13 = 64.24 : x
  2. Step 2: Convert to fraction form
    91.57/137.13 = 64.24/x
  3. Step 3: Cross multiply
    91.57x = 137.13 × 64.24
  4. Step 4: Simplify right side
    91.57x = 8,809.23
  5. Step 5: Solve for x
    x = 8,809.23/91.57
  6. Step 6: Final answer
    x = 96.20

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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.