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Finding the Fourth Proportional to 61.64, 92.46 and 46.52

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Solution

The fourth proportional to 61.64, 92.46 and 46.52 is: 69.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.64 : 92.46 = 46.52 : x
  2. Step 2: Convert to fraction form
    61.64/92.46 = 46.52/x
  3. Step 3: Cross multiply
    61.64x = 92.46 × 46.52
  4. Step 4: Simplify right side
    61.64x = 4,301.24
  5. Step 5: Solve for x
    x = 4,301.24/61.64
  6. Step 6: Final answer
    x = 69.78

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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.