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Finding the Fourth Proportional to 95.78, 132.10 and 76.14

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Solution

The fourth proportional to 95.78, 132.10 and 76.14 is: 105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.78 : 132.10 = 76.14 : x
  2. Step 2: Convert to fraction form
    95.78/132.10 = 76.14/x
  3. Step 3: Cross multiply
    95.78x = 132.10 × 76.14
  4. Step 4: Simplify right side
    95.78x = 10,058.09
  5. Step 5: Solve for x
    x = 10,058.09/95.78
  6. Step 6: Final answer
    x = 105.01

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