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Finding the Fourth Proportional to 107.45, 148.14 and 70.59

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Solution

The fourth proportional to 107.45, 148.14 and 70.59 is: 97.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.45 : 148.14 = 70.59 : x
  2. Step 2: Convert to fraction form
    107.45/148.14 = 70.59/x
  3. Step 3: Cross multiply
    107.45x = 148.14 × 70.59
  4. Step 4: Simplify right side
    107.45x = 10,456.85
  5. Step 5: Solve for x
    x = 10,456.85/107.45
  6. Step 6: Final answer
    x = 97.32

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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.