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Finding the Fourth Proportional to 71.04, 98.15 and 70.13

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Solution

The fourth proportional to 71.04, 98.15 and 70.13 is: 96.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.04 : 98.15 = 70.13 : x
  2. Step 2: Convert to fraction form
    71.04/98.15 = 70.13/x
  3. Step 3: Cross multiply
    71.04x = 98.15 × 70.13
  4. Step 4: Simplify right side
    71.04x = 6,883.26
  5. Step 5: Solve for x
    x = 6,883.26/71.04
  6. Step 6: Final answer
    x = 96.89

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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.