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Finding the Fourth Proportional to 43.84, 60.52 and 42.40

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Solution

The fourth proportional to 43.84, 60.52 and 42.40 is: 58.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.84 : 60.52 = 42.40 : x
  2. Step 2: Convert to fraction form
    43.84/60.52 = 42.40/x
  3. Step 3: Cross multiply
    43.84x = 60.52 × 42.40
  4. Step 4: Simplify right side
    43.84x = 2,566.05
  5. Step 5: Solve for x
    x = 2,566.05/43.84
  6. Step 6: Final answer
    x = 58.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.