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Finding the Fourth Proportional to 95.14, 142.45 and 91.39

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Solution

The fourth proportional to 95.14, 142.45 and 91.39 is: 136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.14 : 142.45 = 91.39 : x
  2. Step 2: Convert to fraction form
    95.14/142.45 = 91.39/x
  3. Step 3: Cross multiply
    95.14x = 142.45 × 91.39
  4. Step 4: Simplify right side
    95.14x = 13,018.51
  5. Step 5: Solve for x
    x = 13,018.51/95.14
  6. Step 6: Final answer
    x = 136.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.