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Finding the Fourth Proportional to 175.84, 242.63 and 102.16

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Solution

The fourth proportional to 175.84, 242.63 and 102.16 is: 140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.84 : 242.63 = 102.16 : x
  2. Step 2: Convert to fraction form
    175.84/242.63 = 102.16/x
  3. Step 3: Cross multiply
    175.84x = 242.63 × 102.16
  4. Step 4: Simplify right side
    175.84x = 24,787.08
  5. Step 5: Solve for x
    x = 24,787.08/175.84
  6. Step 6: Final answer
    x = 140.96

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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.