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Finding the Fourth Proportional to 99.17, 135.95 and 97.34

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Solution

The fourth proportional to 99.17, 135.95 and 97.34 is: 133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.17 : 135.95 = 97.34 : x
  2. Step 2: Convert to fraction form
    99.17/135.95 = 97.34/x
  3. Step 3: Cross multiply
    99.17x = 135.95 × 97.34
  4. Step 4: Simplify right side
    99.17x = 13,232.21
  5. Step 5: Solve for x
    x = 13,232.21/99.17
  6. Step 6: Final answer
    x = 133.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.