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Finding the Fourth Proportional to 175.56, 242.22 and 123.72

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Solution

The fourth proportional to 175.56, 242.22 and 123.72 is: 170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.56 : 242.22 = 123.72 : x
  2. Step 2: Convert to fraction form
    175.56/242.22 = 123.72/x
  3. Step 3: Cross multiply
    175.56x = 242.22 × 123.72
  4. Step 4: Simplify right side
    175.56x = 29,967.46
  5. Step 5: Solve for x
    x = 29,967.46/175.56
  6. Step 6: Final answer
    x = 170.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.