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Finding the Fourth Proportional to 107.64, 148.48 and 103.50

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Solution

The fourth proportional to 107.64, 148.48 and 103.50 is: 142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.64 : 148.48 = 103.50 : x
  2. Step 2: Convert to fraction form
    107.64/148.48 = 103.50/x
  3. Step 3: Cross multiply
    107.64x = 148.48 × 103.50
  4. Step 4: Simplify right side
    107.64x = 15,367.68
  5. Step 5: Solve for x
    x = 15,367.68/107.64
  6. Step 6: Final answer
    x = 142.77

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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.