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Finding the Fourth Proportional to 152.69, 229.14 and 107.08

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Solution

The fourth proportional to 152.69, 229.14 and 107.08 is: 160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.69 : 229.14 = 107.08 : x
  2. Step 2: Convert to fraction form
    152.69/229.14 = 107.08/x
  3. Step 3: Cross multiply
    152.69x = 229.14 × 107.08
  4. Step 4: Simplify right side
    152.69x = 24,535.74
  5. Step 5: Solve for x
    x = 24,535.74/152.69
  6. Step 6: Final answer
    x = 160.70

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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.