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Finding the Fourth Proportional to 97.00, 133.85 and 65.88

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Solution

The fourth proportional to 97.00, 133.85 and 65.88 is: 90.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.00 : 133.85 = 65.88 : x
  2. Step 2: Convert to fraction form
    97.00/133.85 = 65.88/x
  3. Step 3: Cross multiply
    97.00x = 133.85 × 65.88
  4. Step 4: Simplify right side
    97.00x = 8,818.20
  5. Step 5: Solve for x
    x = 8,818.20/97.00
  6. Step 6: Final answer
    x = 90.91

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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.