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Finding the Fourth Proportional to 43.98, 65.54 and 42.24

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Solution

The fourth proportional to 43.98, 65.54 and 42.24 is: 62.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.98 : 65.54 = 42.24 : x
  2. Step 2: Convert to fraction form
    43.98/65.54 = 42.24/x
  3. Step 3: Cross multiply
    43.98x = 65.54 × 42.24
  4. Step 4: Simplify right side
    43.98x = 2,768.20
  5. Step 5: Solve for x
    x = 2,768.20/43.98
  6. Step 6: Final answer
    x = 62.94

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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.