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Finding the Fourth Proportional to 70.75, 106.13 and 46.77

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Solution

The fourth proportional to 70.75, 106.13 and 46.77 is: 70.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.75 : 106.13 = 46.77 : x
  2. Step 2: Convert to fraction form
    70.75/106.13 = 46.77/x
  3. Step 3: Cross multiply
    70.75x = 106.13 × 46.77
  4. Step 4: Simplify right side
    70.75x = 4,963.70
  5. Step 5: Solve for x
    x = 4,963.70/70.75
  6. Step 6: Final answer
    x = 70.16

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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.