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Finding the Fourth Proportional to 107.78, 160.68 and 99.14

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Solution

The fourth proportional to 107.78, 160.68 and 99.14 is: 147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.78 : 160.68 = 99.14 : x
  2. Step 2: Convert to fraction form
    107.78/160.68 = 99.14/x
  3. Step 3: Cross multiply
    107.78x = 160.68 × 99.14
  4. Step 4: Simplify right side
    107.78x = 15,929.32
  5. Step 5: Solve for x
    x = 15,929.32/107.78
  6. Step 6: Final answer
    x = 147.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.