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Finding the Fourth Proportional to 95.40, 132.56 and 94.24

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Solution

The fourth proportional to 95.40, 132.56 and 94.24 is: 130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.40 : 132.56 = 94.24 : x
  2. Step 2: Convert to fraction form
    95.40/132.56 = 94.24/x
  3. Step 3: Cross multiply
    95.40x = 132.56 × 94.24
  4. Step 4: Simplify right side
    95.40x = 12,492.45
  5. Step 5: Solve for x
    x = 12,492.45/95.40
  6. Step 6: Final answer
    x = 130.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.