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Finding the Fourth Proportional to 61.14, 91.71 and 36.75

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Solution

The fourth proportional to 61.14, 91.71 and 36.75 is: 55.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.14 : 91.71 = 36.75 : x
  2. Step 2: Convert to fraction form
    61.14/91.71 = 36.75/x
  3. Step 3: Cross multiply
    61.14x = 91.71 × 36.75
  4. Step 4: Simplify right side
    61.14x = 3,370.34
  5. Step 5: Solve for x
    x = 3,370.34/61.14
  6. Step 6: Final answer
    x = 55.13

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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.