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Finding the Fourth Proportional to 43.42, 59.91 and 24.75

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Solution

The fourth proportional to 43.42, 59.91 and 24.75 is: 34.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.42 : 59.91 = 24.75 : x
  2. Step 2: Convert to fraction form
    43.42/59.91 = 24.75/x
  3. Step 3: Cross multiply
    43.42x = 59.91 × 24.75
  4. Step 4: Simplify right side
    43.42x = 1,482.77
  5. Step 5: Solve for x
    x = 1,482.77/43.42
  6. Step 6: Final answer
    x = 34.15

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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.