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Finding the Fourth Proportional to 155.24, 232.56 and 94.28

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Solution

The fourth proportional to 155.24, 232.56 and 94.28 is: 141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.24 : 232.56 = 94.28 : x
  2. Step 2: Convert to fraction form
    155.24/232.56 = 94.28/x
  3. Step 3: Cross multiply
    155.24x = 232.56 × 94.28
  4. Step 4: Simplify right side
    155.24x = 21,925.76
  5. Step 5: Solve for x
    x = 21,925.76/155.24
  6. Step 6: Final answer
    x = 141.24

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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.