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Finding the Fourth Proportional to 99.83, 136.56 and 98.93

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Solution

The fourth proportional to 99.83, 136.56 and 98.93 is: 135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.83 : 136.56 = 98.93 : x
  2. Step 2: Convert to fraction form
    99.83/136.56 = 98.93/x
  3. Step 3: Cross multiply
    99.83x = 136.56 × 98.93
  4. Step 4: Simplify right side
    99.83x = 13,509.20
  5. Step 5: Solve for x
    x = 13,509.20/99.83
  6. Step 6: Final answer
    x = 135.33

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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.