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Finding the Fourth Proportional to 97.13, 134.06 and 64.53

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Solution

The fourth proportional to 97.13, 134.06 and 64.53 is: 89.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.13 : 134.06 = 64.53 : x
  2. Step 2: Convert to fraction form
    97.13/134.06 = 64.53/x
  3. Step 3: Cross multiply
    97.13x = 134.06 × 64.53
  4. Step 4: Simplify right side
    97.13x = 8,650.57
  5. Step 5: Solve for x
    x = 8,650.57/97.13
  6. Step 6: Final answer
    x = 89.06

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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.