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Finding the Fourth Proportional to 98.93, 136.57 and 82.53

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Solution

The fourth proportional to 98.93, 136.57 and 82.53 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.93 : 136.57 = 82.53 : x
  2. Step 2: Convert to fraction form
    98.93/136.57 = 82.53/x
  3. Step 3: Cross multiply
    98.93x = 136.57 × 82.53
  4. Step 4: Simplify right side
    98.93x = 11,271.12
  5. Step 5: Solve for x
    x = 11,271.12/98.93
  6. Step 6: Final answer
    x = 113.93

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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.