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Finding the Fourth Proportional to 64.57, 88.82 and 58.30

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Solution

The fourth proportional to 64.57, 88.82 and 58.30 is: 80.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.57 : 88.82 = 58.30 : x
  2. Step 2: Convert to fraction form
    64.57/88.82 = 58.30/x
  3. Step 3: Cross multiply
    64.57x = 88.82 × 58.30
  4. Step 4: Simplify right side
    64.57x = 5,178.21
  5. Step 5: Solve for x
    x = 5,178.21/64.57
  6. Step 6: Final answer
    x = 80.20

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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.