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Finding the Fourth Proportional to 71.80, 99.16 and 70.99

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Solution

The fourth proportional to 71.80, 99.16 and 70.99 is: 98.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.80 : 99.16 = 70.99 : x
  2. Step 2: Convert to fraction form
    71.80/99.16 = 70.99/x
  3. Step 3: Cross multiply
    71.80x = 99.16 × 70.99
  4. Step 4: Simplify right side
    71.80x = 7,038.94
  5. Step 5: Solve for x
    x = 7,038.94/71.80
  6. Step 6: Final answer
    x = 98.04

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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.