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Finding the Fourth Proportional to 55.74, 83.43 and 43.53

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Solution

The fourth proportional to 55.74, 83.43 and 43.53 is: 65.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.74 : 83.43 = 43.53 : x
  2. Step 2: Convert to fraction form
    55.74/83.43 = 43.53/x
  3. Step 3: Cross multiply
    55.74x = 83.43 × 43.53
  4. Step 4: Simplify right side
    55.74x = 3,631.71
  5. Step 5: Solve for x
    x = 3,631.71/55.74
  6. Step 6: Final answer
    x = 65.15

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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.