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Finding the Fourth Proportional to 91.20, 136.77 and 37.08

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Solution

The fourth proportional to 91.20, 136.77 and 37.08 is: 55.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.20 : 136.77 = 37.08 : x
  2. Step 2: Convert to fraction form
    91.20/136.77 = 37.08/x
  3. Step 3: Cross multiply
    91.20x = 136.77 × 37.08
  4. Step 4: Simplify right side
    91.20x = 5,071.43
  5. Step 5: Solve for x
    x = 5,071.43/91.20
  6. Step 6: Final answer
    x = 55.61

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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.