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Finding the Fourth Proportional to 29.52, 40.71 and 22.59

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Solution

The fourth proportional to 29.52, 40.71 and 22.59 is: 31.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.52 : 40.71 = 22.59 : x
  2. Step 2: Convert to fraction form
    29.52/40.71 = 22.59/x
  3. Step 3: Cross multiply
    29.52x = 40.71 × 22.59
  4. Step 4: Simplify right side
    29.52x = 919.64
  5. Step 5: Solve for x
    x = 919.64/29.52
  6. Step 6: Final answer
    x = 31.15

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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.