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Finding the Fourth Proportional to 70.37, 96.59 and 69.86

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Solution

The fourth proportional to 70.37, 96.59 and 69.86 is: 95.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.37 : 96.59 = 69.86 : x
  2. Step 2: Convert to fraction form
    70.37/96.59 = 69.86/x
  3. Step 3: Cross multiply
    70.37x = 96.59 × 69.86
  4. Step 4: Simplify right side
    70.37x = 6,748.19
  5. Step 5: Solve for x
    x = 6,748.19/70.37
  6. Step 6: Final answer
    x = 95.90

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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.