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Finding the Fourth Proportional to 61.14, 91.14 and 56.58

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Solution

The fourth proportional to 61.14, 91.14 and 56.58 is: 84.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.14 : 91.14 = 56.58 : x
  2. Step 2: Convert to fraction form
    61.14/91.14 = 56.58/x
  3. Step 3: Cross multiply
    61.14x = 91.14 × 56.58
  4. Step 4: Simplify right side
    61.14x = 5,156.70
  5. Step 5: Solve for x
    x = 5,156.70/61.14
  6. Step 6: Final answer
    x = 84.34

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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.