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Finding the Fourth Proportional to 118.05, 176.93 and 49.51

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Solution

The fourth proportional to 118.05, 176.93 and 49.51 is: 74.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.05 : 176.93 = 49.51 : x
  2. Step 2: Convert to fraction form
    118.05/176.93 = 49.51/x
  3. Step 3: Cross multiply
    118.05x = 176.93 × 49.51
  4. Step 4: Simplify right side
    118.05x = 8,758.67
  5. Step 5: Solve for x
    x = 8,758.67/118.05
  6. Step 6: Final answer
    x = 74.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.