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Finding the Fourth Proportional to 61.60, 92.04 and 52

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Solution

The fourth proportional to 61.60, 92.04 and 52 is: 77.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.60 : 92.04 = 52 : x
  2. Step 2: Convert to fraction form
    61.60/92.04 = 52/x
  3. Step 3: Cross multiply
    61.60x = 92.04 × 52
  4. Step 4: Simplify right side
    61.60x = 4,786.08
  5. Step 5: Solve for x
    x = 4,786.08/61.60
  6. Step 6: Final answer
    x = 77.70

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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.