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Finding the Fourth Proportional to 107.49, 148.33 and 66.05

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Solution

The fourth proportional to 107.49, 148.33 and 66.05 is: 91.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.49 : 148.33 = 66.05 : x
  2. Step 2: Convert to fraction form
    107.49/148.33 = 66.05/x
  3. Step 3: Cross multiply
    107.49x = 148.33 × 66.05
  4. Step 4: Simplify right side
    107.49x = 9,797.09
  5. Step 5: Solve for x
    x = 9,797.09/107.49
  6. Step 6: Final answer
    x = 91.14

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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.