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Finding the Fourth Proportional to 97.93, 135.11 and 65.20

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Solution

The fourth proportional to 97.93, 135.11 and 65.20 is: 89.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.93 : 135.11 = 65.20 : x
  2. Step 2: Convert to fraction form
    97.93/135.11 = 65.20/x
  3. Step 3: Cross multiply
    97.93x = 135.11 × 65.20
  4. Step 4: Simplify right side
    97.93x = 8,808.17
  5. Step 5: Solve for x
    x = 8,808.17/97.93
  6. Step 6: Final answer
    x = 89.94

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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.