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Finding the Fourth Proportional to 154.87, 232.28 and 57.35

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Solution

The fourth proportional to 154.87, 232.28 and 57.35 is: 86.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.87 : 232.28 = 57.35 : x
  2. Step 2: Convert to fraction form
    154.87/232.28 = 57.35/x
  3. Step 3: Cross multiply
    154.87x = 232.28 × 57.35
  4. Step 4: Simplify right side
    154.87x = 13,321.26
  5. Step 5: Solve for x
    x = 13,321.26/154.87
  6. Step 6: Final answer
    x = 86.02

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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.