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Finding the Fourth Proportional to 29.30, 40.35 and 24.72

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Solution

The fourth proportional to 29.30, 40.35 and 24.72 is: 34.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.30 : 40.35 = 24.72 : x
  2. Step 2: Convert to fraction form
    29.30/40.35 = 24.72/x
  3. Step 3: Cross multiply
    29.30x = 40.35 × 24.72
  4. Step 4: Simplify right side
    29.30x = 997.25
  5. Step 5: Solve for x
    x = 997.25/29.30
  6. Step 6: Final answer
    x = 34.04

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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.