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Finding the Fourth Proportional to 52.57, 78.91 and 29.74

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Solution

The fourth proportional to 52.57, 78.91 and 29.74 is: 44.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.57 : 78.91 = 29.74 : x
  2. Step 2: Convert to fraction form
    52.57/78.91 = 29.74/x
  3. Step 3: Cross multiply
    52.57x = 78.91 × 29.74
  4. Step 4: Simplify right side
    52.57x = 2,346.78
  5. Step 5: Solve for x
    x = 2,346.78/52.57
  6. Step 6: Final answer
    x = 44.64

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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.