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Finding the Fourth Proportional to 61.17, 91.17 and 57.75

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Solution

The fourth proportional to 61.17, 91.17 and 57.75 is: 86.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.17 : 91.17 = 57.75 : x
  2. Step 2: Convert to fraction form
    61.17/91.17 = 57.75/x
  3. Step 3: Cross multiply
    61.17x = 91.17 × 57.75
  4. Step 4: Simplify right side
    61.17x = 5,265.07
  5. Step 5: Solve for x
    x = 5,265.07/61.17
  6. Step 6: Final answer
    x = 86.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.