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Finding the Fourth Proportional to 61.29, 91.80 and 46.78

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Solution

The fourth proportional to 61.29, 91.80 and 46.78 is: 70.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.29 : 91.80 = 46.78 : x
  2. Step 2: Convert to fraction form
    61.29/91.80 = 46.78/x
  3. Step 3: Cross multiply
    61.29x = 91.80 × 46.78
  4. Step 4: Simplify right side
    61.29x = 4,294.17
  5. Step 5: Solve for x
    x = 4,294.17/61.29
  6. Step 6: Final answer
    x = 70.06

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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.