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Finding the Fourth Proportional to 155.33, 232.85 and 86.81

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Solution

The fourth proportional to 155.33, 232.85 and 86.81 is: 130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.33 : 232.85 = 86.81 : x
  2. Step 2: Convert to fraction form
    155.33/232.85 = 86.81/x
  3. Step 3: Cross multiply
    155.33x = 232.85 × 86.81
  4. Step 4: Simplify right side
    155.33x = 20,214.51
  5. Step 5: Solve for x
    x = 20,214.51/155.33
  6. Step 6: Final answer
    x = 130.14

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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.