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Finding the Fourth Proportional to 15.02, 22.58 and 9.71

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Solution

The fourth proportional to 15.02, 22.58 and 9.71 is: 14.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.02 : 22.58 = 9.71 : x
  2. Step 2: Convert to fraction form
    15.02/22.58 = 9.71/x
  3. Step 3: Cross multiply
    15.02x = 22.58 × 9.71
  4. Step 4: Simplify right side
    15.02x = 219.20
  5. Step 5: Solve for x
    x = 219.20/15.02
  6. Step 6: Final answer
    x = 14.59

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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.