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Finding the Fourth Proportional to 62.14, 85.74 and 52.88

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Solution

The fourth proportional to 62.14, 85.74 and 52.88 is: 72.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.14 : 85.74 = 52.88 : x
  2. Step 2: Convert to fraction form
    62.14/85.74 = 52.88/x
  3. Step 3: Cross multiply
    62.14x = 85.74 × 52.88
  4. Step 4: Simplify right side
    62.14x = 4,533.93
  5. Step 5: Solve for x
    x = 4,533.93/62.14
  6. Step 6: Final answer
    x = 72.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.