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Finding the Fourth Proportional to 64.60, 97.05 and 60.04

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Solution

The fourth proportional to 64.60, 97.05 and 60.04 is: 90.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.60 : 97.05 = 60.04 : x
  2. Step 2: Convert to fraction form
    64.60/97.05 = 60.04/x
  3. Step 3: Cross multiply
    64.60x = 97.05 × 60.04
  4. Step 4: Simplify right side
    64.60x = 5,826.58
  5. Step 5: Solve for x
    x = 5,826.58/64.60
  6. Step 6: Final answer
    x = 90.20

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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.