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Finding the Fourth Proportional to 43.66, 64.96 and 42.18

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Solution

The fourth proportional to 43.66, 64.96 and 42.18 is: 62.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.66 : 64.96 = 42.18 : x
  2. Step 2: Convert to fraction form
    43.66/64.96 = 42.18/x
  3. Step 3: Cross multiply
    43.66x = 64.96 × 42.18
  4. Step 4: Simplify right side
    43.66x = 2,740.01
  5. Step 5: Solve for x
    x = 2,740.01/43.66
  6. Step 6: Final answer
    x = 62.76

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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.