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Finding the Fourth Proportional to 29.10, 43.40 and 24.84

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Solution

The fourth proportional to 29.10, 43.40 and 24.84 is: 37.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.10 : 43.40 = 24.84 : x
  2. Step 2: Convert to fraction form
    29.10/43.40 = 24.84/x
  3. Step 3: Cross multiply
    29.10x = 43.40 × 24.84
  4. Step 4: Simplify right side
    29.10x = 1,078.06
  5. Step 5: Solve for x
    x = 1,078.06/29.10
  6. Step 6: Final answer
    x = 37.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.