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Finding the Fourth Proportional to 122.59, 183.01 and 118.32

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Solution

The fourth proportional to 122.59, 183.01 and 118.32 is: 176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.59 : 183.01 = 118.32 : x
  2. Step 2: Convert to fraction form
    122.59/183.01 = 118.32/x
  3. Step 3: Cross multiply
    122.59x = 183.01 × 118.32
  4. Step 4: Simplify right side
    122.59x = 21,652.53
  5. Step 5: Solve for x
    x = 21,652.53/122.59
  6. Step 6: Final answer
    x = 176.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.