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Finding the Fourth Proportional to 155.44, 233.16 and 59.28

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Solution

The fourth proportional to 155.44, 233.16 and 59.28 is: 88.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.44 : 233.16 = 59.28 : x
  2. Step 2: Convert to fraction form
    155.44/233.16 = 59.28/x
  3. Step 3: Cross multiply
    155.44x = 233.16 × 59.28
  4. Step 4: Simplify right side
    155.44x = 13,821.72
  5. Step 5: Solve for x
    x = 13,821.72/155.44
  6. Step 6: Final answer
    x = 88.92

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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.