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Finding the Fourth Proportional to 106.98, 146.64 and 99.60

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Solution

The fourth proportional to 106.98, 146.64 and 99.60 is: 136.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.98 : 146.64 = 99.60 : x
  2. Step 2: Convert to fraction form
    106.98/146.64 = 99.60/x
  3. Step 3: Cross multiply
    106.98x = 146.64 × 99.60
  4. Step 4: Simplify right side
    106.98x = 14,605.34
  5. Step 5: Solve for x
    x = 14,605.34/106.98
  6. Step 6: Final answer
    x = 136.52

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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.