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Finding the Fourth Proportional to 107.33, 148.06 and 65.85

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Solution

The fourth proportional to 107.33, 148.06 and 65.85 is: 90.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.33 : 148.06 = 65.85 : x
  2. Step 2: Convert to fraction form
    107.33/148.06 = 65.85/x
  3. Step 3: Cross multiply
    107.33x = 148.06 × 65.85
  4. Step 4: Simplify right side
    107.33x = 9,749.28
  5. Step 5: Solve for x
    x = 9,749.28/107.33
  6. Step 6: Final answer
    x = 90.84

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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.