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Finding the Fourth Proportional to 71.46, 107.10 and 45.70

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Solution

The fourth proportional to 71.46, 107.10 and 45.70 is: 68.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.46 : 107.10 = 45.70 : x
  2. Step 2: Convert to fraction form
    71.46/107.10 = 45.70/x
  3. Step 3: Cross multiply
    71.46x = 107.10 × 45.70
  4. Step 4: Simplify right side
    71.46x = 4,894.20
  5. Step 5: Solve for x
    x = 4,894.20/71.46
  6. Step 6: Final answer
    x = 68.49

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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.