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Finding the Fourth Proportional to 52.71, 79.01 and 25.62

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Solution

The fourth proportional to 52.71, 79.01 and 25.62 is: 38.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.71 : 79.01 = 25.62 : x
  2. Step 2: Convert to fraction form
    52.71/79.01 = 25.62/x
  3. Step 3: Cross multiply
    52.71x = 79.01 × 25.62
  4. Step 4: Simplify right side
    52.71x = 2,024.24
  5. Step 5: Solve for x
    x = 2,024.24/52.71
  6. Step 6: Final answer
    x = 38.40

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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.