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Finding the Fourth Proportional to 22.52, 33.76 and 14.91

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Solution

The fourth proportional to 22.52, 33.76 and 14.91 is: 22.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.52 : 33.76 = 14.91 : x
  2. Step 2: Convert to fraction form
    22.52/33.76 = 14.91/x
  3. Step 3: Cross multiply
    22.52x = 33.76 × 14.91
  4. Step 4: Simplify right side
    22.52x = 503.40
  5. Step 5: Solve for x
    x = 503.40/22.52
  6. Step 6: Final answer
    x = 22.36

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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.