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Finding the Fourth Proportional to 155.71, 233.16 and 107.11

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Solution

The fourth proportional to 155.71, 233.16 and 107.11 is: 160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.71 : 233.16 = 107.11 : x
  2. Step 2: Convert to fraction form
    155.71/233.16 = 107.11/x
  3. Step 3: Cross multiply
    155.71x = 233.16 × 107.11
  4. Step 4: Simplify right side
    155.71x = 24,973.77
  5. Step 5: Solve for x
    x = 24,973.77/155.71
  6. Step 6: Final answer
    x = 160.39

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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.