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Finding the Fourth Proportional to 97.82, 135.10 and 65.22

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Solution

The fourth proportional to 97.82, 135.10 and 65.22 is: 90.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.82 : 135.10 = 65.22 : x
  2. Step 2: Convert to fraction form
    97.82/135.10 = 65.22/x
  3. Step 3: Cross multiply
    97.82x = 135.10 × 65.22
  4. Step 4: Simplify right side
    97.82x = 8,811.22
  5. Step 5: Solve for x
    x = 8,811.22/97.82
  6. Step 6: Final answer
    x = 90.08

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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.