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Finding the Fourth Proportional to 91.33, 137.69 and 86.34

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Solution

The fourth proportional to 91.33, 137.69 and 86.34 is: 130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.33 : 137.69 = 86.34 : x
  2. Step 2: Convert to fraction form
    91.33/137.69 = 86.34/x
  3. Step 3: Cross multiply
    91.33x = 137.69 × 86.34
  4. Step 4: Simplify right side
    91.33x = 11,888.15
  5. Step 5: Solve for x
    x = 11,888.15/91.33
  6. Step 6: Final answer
    x = 130.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.