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Finding the Fourth Proportional to 44.08, 65.67 and 42

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Solution

The fourth proportional to 44.08, 65.67 and 42 is: 62.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.08 : 65.67 = 42 : x
  2. Step 2: Convert to fraction form
    44.08/65.67 = 42/x
  3. Step 3: Cross multiply
    44.08x = 65.67 × 42
  4. Step 4: Simplify right side
    44.08x = 2,758.14
  5. Step 5: Solve for x
    x = 2,758.14/44.08
  6. Step 6: Final answer
    x = 62.57

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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.