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Finding the Fourth Proportional to 95.77, 132.18 and 56.95

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Solution

The fourth proportional to 95.77, 132.18 and 56.95 is: 78.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.77 : 132.18 = 56.95 : x
  2. Step 2: Convert to fraction form
    95.77/132.18 = 56.95/x
  3. Step 3: Cross multiply
    95.77x = 132.18 × 56.95
  4. Step 4: Simplify right side
    95.77x = 7,528.17
  5. Step 5: Solve for x
    x = 7,528.17/95.77
  6. Step 6: Final answer
    x = 78.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.