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Finding the Fourth Proportional to 43.30, 64.90 and 40.87

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Solution

The fourth proportional to 43.30, 64.90 and 40.87 is: 61.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.30 : 64.90 = 40.87 : x
  2. Step 2: Convert to fraction form
    43.30/64.90 = 40.87/x
  3. Step 3: Cross multiply
    43.30x = 64.90 × 40.87
  4. Step 4: Simplify right side
    43.30x = 2,652.46
  5. Step 5: Solve for x
    x = 2,652.46/43.30
  6. Step 6: Final answer
    x = 61.26

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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.