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Finding the Fourth Proportional to 160.14, 240 and 78.86

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Solution

The fourth proportional to 160.14, 240 and 78.86 is: 118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.14 : 240 = 78.86 : x
  2. Step 2: Convert to fraction form
    160.14/240 = 78.86/x
  3. Step 3: Cross multiply
    160.14x = 240 × 78.86
  4. Step 4: Simplify right side
    160.14x = 18,926.40
  5. Step 5: Solve for x
    x = 18,926.40/160.14
  6. Step 6: Final answer
    x = 118.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.