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Finding the Fourth Proportional to 64.19, 88.58 and 58.11

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Solution

The fourth proportional to 64.19, 88.58 and 58.11 is: 80.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.19 : 88.58 = 58.11 : x
  2. Step 2: Convert to fraction form
    64.19/88.58 = 58.11/x
  3. Step 3: Cross multiply
    64.19x = 88.58 × 58.11
  4. Step 4: Simplify right side
    64.19x = 5,147.38
  5. Step 5: Solve for x
    x = 5,147.38/64.19
  6. Step 6: Final answer
    x = 80.19

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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.