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Finding the Fourth Proportional to 29.40, 44 and 24.29

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Solution

The fourth proportional to 29.40, 44 and 24.29 is: 36.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.40 : 44 = 24.29 : x
  2. Step 2: Convert to fraction form
    29.40/44 = 24.29/x
  3. Step 3: Cross multiply
    29.40x = 44 × 24.29
  4. Step 4: Simplify right side
    29.40x = 1,068.76
  5. Step 5: Solve for x
    x = 1,068.76/29.40
  6. Step 6: Final answer
    x = 36.35

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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.