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Finding the Fourth Proportional to 107.62, 160.35 and 102.96

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Solution

The fourth proportional to 107.62, 160.35 and 102.96 is: 153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.62 : 160.35 = 102.96 : x
  2. Step 2: Convert to fraction form
    107.62/160.35 = 102.96/x
  3. Step 3: Cross multiply
    107.62x = 160.35 × 102.96
  4. Step 4: Simplify right side
    107.62x = 16,509.64
  5. Step 5: Solve for x
    x = 16,509.64/107.62
  6. Step 6: Final answer
    x = 153.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.