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Finding the Fourth Proportional to 43.08, 64.26 and 41.76

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Solution

The fourth proportional to 43.08, 64.26 and 41.76 is: 62.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.08 : 64.26 = 41.76 : x
  2. Step 2: Convert to fraction form
    43.08/64.26 = 41.76/x
  3. Step 3: Cross multiply
    43.08x = 64.26 × 41.76
  4. Step 4: Simplify right side
    43.08x = 2,683.50
  5. Step 5: Solve for x
    x = 2,683.50/43.08
  6. Step 6: Final answer
    x = 62.29

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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.