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Finding the Fourth Proportional to 160.46, 240.55 and 102.70

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Solution

The fourth proportional to 160.46, 240.55 and 102.70 is: 153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.46 : 240.55 = 102.70 : x
  2. Step 2: Convert to fraction form
    160.46/240.55 = 102.70/x
  3. Step 3: Cross multiply
    160.46x = 240.55 × 102.70
  4. Step 4: Simplify right side
    160.46x = 24,703.63
  5. Step 5: Solve for x
    x = 24,703.63/160.46
  6. Step 6: Final answer
    x = 153.96

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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.