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Finding the Fourth Proportional to 152.90, 229.34 and 44.69

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Solution

The fourth proportional to 152.90, 229.34 and 44.69 is: 67.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.90 : 229.34 = 44.69 : x
  2. Step 2: Convert to fraction form
    152.90/229.34 = 44.69/x
  3. Step 3: Cross multiply
    152.90x = 229.34 × 44.69
  4. Step 4: Simplify right side
    152.90x = 10,248.17
  5. Step 5: Solve for x
    x = 10,248.17/152.90
  6. Step 6: Final answer
    x = 67.03

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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.