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Finding the Fourth Proportional to 95.64, 144.06 and 77.82

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Solution

The fourth proportional to 95.64, 144.06 and 77.82 is: 117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.64 : 144.06 = 77.82 : x
  2. Step 2: Convert to fraction form
    95.64/144.06 = 77.82/x
  3. Step 3: Cross multiply
    95.64x = 144.06 × 77.82
  4. Step 4: Simplify right side
    95.64x = 11,210.75
  5. Step 5: Solve for x
    x = 11,210.75/95.64
  6. Step 6: Final answer
    x = 117.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.