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Finding the Fourth Proportional to 160.20, 240.30 and 82.93

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Solution

The fourth proportional to 160.20, 240.30 and 82.93 is: 124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.20 : 240.30 = 82.93 : x
  2. Step 2: Convert to fraction form
    160.20/240.30 = 82.93/x
  3. Step 3: Cross multiply
    160.20x = 240.30 × 82.93
  4. Step 4: Simplify right side
    160.20x = 19,928.08
  5. Step 5: Solve for x
    x = 19,928.08/160.20
  6. Step 6: Final answer
    x = 124.40

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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.