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Finding the Fourth Proportional to 52.95, 78.90 and 47.57

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Solution

The fourth proportional to 52.95, 78.90 and 47.57 is: 70.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.95 : 78.90 = 47.57 : x
  2. Step 2: Convert to fraction form
    52.95/78.90 = 47.57/x
  3. Step 3: Cross multiply
    52.95x = 78.90 × 47.57
  4. Step 4: Simplify right side
    52.95x = 3,753.27
  5. Step 5: Solve for x
    x = 3,753.27/52.95
  6. Step 6: Final answer
    x = 70.88

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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.