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Finding the Fourth Proportional to 107.52, 160.93 and 74.98

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Solution

The fourth proportional to 107.52, 160.93 and 74.98 is: 112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.52 : 160.93 = 74.98 : x
  2. Step 2: Convert to fraction form
    107.52/160.93 = 74.98/x
  3. Step 3: Cross multiply
    107.52x = 160.93 × 74.98
  4. Step 4: Simplify right side
    107.52x = 12,066.53
  5. Step 5: Solve for x
    x = 12,066.53/107.52
  6. Step 6: Final answer
    x = 112.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.