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Finding the Fourth Proportional to 86.95, 130.22 and 41.20

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Solution

The fourth proportional to 86.95, 130.22 and 41.20 is: 61.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.95 : 130.22 = 41.20 : x
  2. Step 2: Convert to fraction form
    86.95/130.22 = 41.20/x
  3. Step 3: Cross multiply
    86.95x = 130.22 × 41.20
  4. Step 4: Simplify right side
    86.95x = 5,365.11
  5. Step 5: Solve for x
    x = 5,365.11/86.95
  6. Step 6: Final answer
    x = 61.70

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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.