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Finding the Fourth Proportional to 113.84, 169.93 and 99.50

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Solution

The fourth proportional to 113.84, 169.93 and 99.50 is: 148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.84 : 169.93 = 99.50 : x
  2. Step 2: Convert to fraction form
    113.84/169.93 = 99.50/x
  3. Step 3: Cross multiply
    113.84x = 169.93 × 99.50
  4. Step 4: Simplify right side
    113.84x = 16,908.04
  5. Step 5: Solve for x
    x = 16,908.04/113.84
  6. Step 6: Final answer
    x = 148.52

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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.