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Finding the Fourth Proportional to 175.77, 242.52 and 102.05

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Solution

The fourth proportional to 175.77, 242.52 and 102.05 is: 140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.77 : 242.52 = 102.05 : x
  2. Step 2: Convert to fraction form
    175.77/242.52 = 102.05/x
  3. Step 3: Cross multiply
    175.77x = 242.52 × 102.05
  4. Step 4: Simplify right side
    175.77x = 24,749.17
  5. Step 5: Solve for x
    x = 24,749.17/175.77
  6. Step 6: Final answer
    x = 140.80

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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.