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Finding the Fourth Proportional to 107.60, 159.68 and 102.76

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Solution

The fourth proportional to 107.60, 159.68 and 102.76 is: 152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.60 : 159.68 = 102.76 : x
  2. Step 2: Convert to fraction form
    107.60/159.68 = 102.76/x
  3. Step 3: Cross multiply
    107.60x = 159.68 × 102.76
  4. Step 4: Simplify right side
    107.60x = 16,408.72
  5. Step 5: Solve for x
    x = 16,408.72/107.60
  6. Step 6: Final answer
    x = 152.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.