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Finding the Fourth Proportional to 131.95, 179.70 and 131.14

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Solution

The fourth proportional to 131.95, 179.70 and 131.14 is: 178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.95 : 179.70 = 131.14 : x
  2. Step 2: Convert to fraction form
    131.95/179.70 = 131.14/x
  3. Step 3: Cross multiply
    131.95x = 179.70 × 131.14
  4. Step 4: Simplify right side
    131.95x = 23,565.86
  5. Step 5: Solve for x
    x = 23,565.86/131.95
  6. Step 6: Final answer
    x = 178.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.