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Finding the Fourth Proportional to 22.54, 31.08 and 14.76

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Solution

The fourth proportional to 22.54, 31.08 and 14.76 is: 20.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.54 : 31.08 = 14.76 : x
  2. Step 2: Convert to fraction form
    22.54/31.08 = 14.76/x
  3. Step 3: Cross multiply
    22.54x = 31.08 × 14.76
  4. Step 4: Simplify right side
    22.54x = 458.74
  5. Step 5: Solve for x
    x = 458.74/22.54
  6. Step 6: Final answer
    x = 20.35

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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.