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Finding the Fourth Proportional to 91.95, 137.34 and 79.15

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Solution

The fourth proportional to 91.95, 137.34 and 79.15 is: 118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.95 : 137.34 = 79.15 : x
  2. Step 2: Convert to fraction form
    91.95/137.34 = 79.15/x
  3. Step 3: Cross multiply
    91.95x = 137.34 × 79.15
  4. Step 4: Simplify right side
    91.95x = 10,870.12
  5. Step 5: Solve for x
    x = 10,870.12/91.95
  6. Step 6: Final answer
    x = 118.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.