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Finding the Fourth Proportional to 175.93, 242.87 and 113.81

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Solution

The fourth proportional to 175.93, 242.87 and 113.81 is: 157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.93 : 242.87 = 113.81 : x
  2. Step 2: Convert to fraction form
    175.93/242.87 = 113.81/x
  3. Step 3: Cross multiply
    175.93x = 242.87 × 113.81
  4. Step 4: Simplify right side
    175.93x = 27,639.25
  5. Step 5: Solve for x
    x = 27,639.25/175.93
  6. Step 6: Final answer
    x = 157.11

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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.