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Finding the Fourth Proportional to 97.04, 133.77 and 65.96

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Solution

The fourth proportional to 97.04, 133.77 and 65.96 is: 90.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.04 : 133.77 = 65.96 : x
  2. Step 2: Convert to fraction form
    97.04/133.77 = 65.96/x
  3. Step 3: Cross multiply
    97.04x = 133.77 × 65.96
  4. Step 4: Simplify right side
    97.04x = 8,822.80
  5. Step 5: Solve for x
    x = 8,822.80/97.04
  6. Step 6: Final answer
    x = 90.92

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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.