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Finding the Fourth Proportional to 160.68, 240.76 and 103.04

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Solution

The fourth proportional to 160.68, 240.76 and 103.04 is: 154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.68 : 240.76 = 103.04 : x
  2. Step 2: Convert to fraction form
    160.68/240.76 = 103.04/x
  3. Step 3: Cross multiply
    160.68x = 240.76 × 103.04
  4. Step 4: Simplify right side
    160.68x = 24,807.16
  5. Step 5: Solve for x
    x = 24,807.16/160.68
  6. Step 6: Final answer
    x = 154.38

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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.