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Finding the Fourth Proportional to 62, 92.56 and 52.88

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Solution

The fourth proportional to 62, 92.56 and 52.88 is: 78.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62 : 92.56 = 52.88 : x
  2. Step 2: Convert to fraction form
    62/92.56 = 52.88/x
  3. Step 3: Cross multiply
    62x = 92.56 × 52.88
  4. Step 4: Simplify right side
    62x = 4,894.57
  5. Step 5: Solve for x
    x = 4,894.57/62
  6. Step 6: Final answer
    x = 78.94

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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.