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Finding the Fourth Proportional to 122.45, 182.66 and 101.93

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Solution

The fourth proportional to 122.45, 182.66 and 101.93 is: 152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.45 : 182.66 = 101.93 : x
  2. Step 2: Convert to fraction form
    122.45/182.66 = 101.93/x
  3. Step 3: Cross multiply
    122.45x = 182.66 × 101.93
  4. Step 4: Simplify right side
    122.45x = 18,617.11
  5. Step 5: Solve for x
    x = 18,617.11/122.45
  6. Step 6: Final answer
    x = 152.04

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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.