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Finding the Fourth Proportional to 175.84, 242.64 and 102.14

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Solution

The fourth proportional to 175.84, 242.64 and 102.14 is: 140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.84 : 242.64 = 102.14 : x
  2. Step 2: Convert to fraction form
    175.84/242.64 = 102.14/x
  3. Step 3: Cross multiply
    175.84x = 242.64 × 102.14
  4. Step 4: Simplify right side
    175.84x = 24,783.25
  5. Step 5: Solve for x
    x = 24,783.25/175.84
  6. Step 6: Final answer
    x = 140.94

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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.