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Finding the Fourth Proportional to 64.60, 97.04 and 58.92

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Solution

The fourth proportional to 64.60, 97.04 and 58.92 is: 88.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.60 : 97.04 = 58.92 : x
  2. Step 2: Convert to fraction form
    64.60/97.04 = 58.92/x
  3. Step 3: Cross multiply
    64.60x = 97.04 × 58.92
  4. Step 4: Simplify right side
    64.60x = 5,717.60
  5. Step 5: Solve for x
    x = 5,717.60/64.60
  6. Step 6: Final answer
    x = 88.51

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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.