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Finding the Fourth Proportional to 70.10, 95.88 and 69.86

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Solution

The fourth proportional to 70.10, 95.88 and 69.86 is: 95.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.10 : 95.88 = 69.86 : x
  2. Step 2: Convert to fraction form
    70.10/95.88 = 69.86/x
  3. Step 3: Cross multiply
    70.10x = 95.88 × 69.86
  4. Step 4: Simplify right side
    70.10x = 6,698.18
  5. Step 5: Solve for x
    x = 6,698.18/70.10
  6. Step 6: Final answer
    x = 95.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.