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Finding the Fourth Proportional to 91.06, 136.32 and 68.34

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Solution

The fourth proportional to 91.06, 136.32 and 68.34 is: 102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.06 : 136.32 = 68.34 : x
  2. Step 2: Convert to fraction form
    91.06/136.32 = 68.34/x
  3. Step 3: Cross multiply
    91.06x = 136.32 × 68.34
  4. Step 4: Simplify right side
    91.06x = 9,316.11
  5. Step 5: Solve for x
    x = 9,316.11/91.06
  6. Step 6: Final answer
    x = 102.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.