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Finding the Fourth Proportional to 175.40, 242.08 and 105.46

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Solution

The fourth proportional to 175.40, 242.08 and 105.46 is: 145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.40 : 242.08 = 105.46 : x
  2. Step 2: Convert to fraction form
    175.40/242.08 = 105.46/x
  3. Step 3: Cross multiply
    175.40x = 242.08 × 105.46
  4. Step 4: Simplify right side
    175.40x = 25,529.76
  5. Step 5: Solve for x
    x = 25,529.76/175.40
  6. Step 6: Final answer
    x = 145.55

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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.