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Finding the Fourth Proportional to 43.61, 65.34 and 41.93

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Solution

The fourth proportional to 43.61, 65.34 and 41.93 is: 62.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.61 : 65.34 = 41.93 : x
  2. Step 2: Convert to fraction form
    43.61/65.34 = 41.93/x
  3. Step 3: Cross multiply
    43.61x = 65.34 × 41.93
  4. Step 4: Simplify right side
    43.61x = 2,739.71
  5. Step 5: Solve for x
    x = 2,739.71/43.61
  6. Step 6: Final answer
    x = 62.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.