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Finding the Fourth Proportional to 43.59, 65.03 and 42.08

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Solution

The fourth proportional to 43.59, 65.03 and 42.08 is: 62.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.59 : 65.03 = 42.08 : x
  2. Step 2: Convert to fraction form
    43.59/65.03 = 42.08/x
  3. Step 3: Cross multiply
    43.59x = 65.03 × 42.08
  4. Step 4: Simplify right side
    43.59x = 2,735.93
  5. Step 5: Solve for x
    x = 2,735.93/43.59
  6. Step 6: Final answer
    x = 62.77

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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.