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Finding the Fourth Proportional to 66.36, 100.13 and 65.82

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Solution

The fourth proportional to 66.36, 100.13 and 65.82 is: 99.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.36 : 100.13 = 65.82 : x
  2. Step 2: Convert to fraction form
    66.36/100.13 = 65.82/x
  3. Step 3: Cross multiply
    66.36x = 100.13 × 65.82
  4. Step 4: Simplify right side
    66.36x = 6,590.23
  5. Step 5: Solve for x
    x = 6,590.23/66.36
  6. Step 6: Final answer
    x = 99.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.