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Finding the Fourth Proportional to 99.84, 137.88 and 74.16

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Solution

The fourth proportional to 99.84, 137.88 and 74.16 is: 102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.84 : 137.88 = 74.16 : x
  2. Step 2: Convert to fraction form
    99.84/137.88 = 74.16/x
  3. Step 3: Cross multiply
    99.84x = 137.88 × 74.16
  4. Step 4: Simplify right side
    99.84x = 10,225.18
  5. Step 5: Solve for x
    x = 10,225.18/99.84
  6. Step 6: Final answer
    x = 102.42

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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.