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Finding the Fourth Proportional to 29.52, 40.76 and 23.08

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Solution

The fourth proportional to 29.52, 40.76 and 23.08 is: 31.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.52 : 40.76 = 23.08 : x
  2. Step 2: Convert to fraction form
    29.52/40.76 = 23.08/x
  3. Step 3: Cross multiply
    29.52x = 40.76 × 23.08
  4. Step 4: Simplify right side
    29.52x = 940.74
  5. Step 5: Solve for x
    x = 940.74/29.52
  6. Step 6: Final answer
    x = 31.87

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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.