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Finding the Fourth Proportional to 71.60, 98.60 and 70.09

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Solution

The fourth proportional to 71.60, 98.60 and 70.09 is: 96.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.60 : 98.60 = 70.09 : x
  2. Step 2: Convert to fraction form
    71.60/98.60 = 70.09/x
  3. Step 3: Cross multiply
    71.60x = 98.60 × 70.09
  4. Step 4: Simplify right side
    71.60x = 6,910.87
  5. Step 5: Solve for x
    x = 6,910.87/71.60
  6. Step 6: Final answer
    x = 96.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.