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Finding the Fourth Proportional to 115.84, 160.09 and 99.74

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Solution

The fourth proportional to 115.84, 160.09 and 99.74 is: 137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.84 : 160.09 = 99.74 : x
  2. Step 2: Convert to fraction form
    115.84/160.09 = 99.74/x
  3. Step 3: Cross multiply
    115.84x = 160.09 × 99.74
  4. Step 4: Simplify right side
    115.84x = 15,967.19
  5. Step 5: Solve for x
    x = 15,967.19/115.84
  6. Step 6: Final answer
    x = 137.84

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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.