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Finding the Fourth Proportional to 58.64, 80.96 and 43.12

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Solution

The fourth proportional to 58.64, 80.96 and 43.12 is: 59.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.64 : 80.96 = 43.12 : x
  2. Step 2: Convert to fraction form
    58.64/80.96 = 43.12/x
  3. Step 3: Cross multiply
    58.64x = 80.96 × 43.12
  4. Step 4: Simplify right side
    58.64x = 3,491.00
  5. Step 5: Solve for x
    x = 3,491.00/58.64
  6. Step 6: Final answer
    x = 59.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.