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Finding the Fourth Proportional to 107.14, 160.78 and 59.08

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Solution

The fourth proportional to 107.14, 160.78 and 59.08 is: 88.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.14 : 160.78 = 59.08 : x
  2. Step 2: Convert to fraction form
    107.14/160.78 = 59.08/x
  3. Step 3: Cross multiply
    107.14x = 160.78 × 59.08
  4. Step 4: Simplify right side
    107.14x = 9,498.88
  5. Step 5: Solve for x
    x = 9,498.88/107.14
  6. Step 6: Final answer
    x = 88.66

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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.