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Finding the Fourth Proportional to 152.64, 229.05 and 103.92

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Solution

The fourth proportional to 152.64, 229.05 and 103.92 is: 155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.64 : 229.05 = 103.92 : x
  2. Step 2: Convert to fraction form
    152.64/229.05 = 103.92/x
  3. Step 3: Cross multiply
    152.64x = 229.05 × 103.92
  4. Step 4: Simplify right side
    152.64x = 23,801.73
  5. Step 5: Solve for x
    x = 23,801.73/152.64
  6. Step 6: Final answer
    x = 155.94

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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.