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Finding the Fourth Proportional to 122.16, 183.02 and 101.84

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Solution

The fourth proportional to 122.16, 183.02 and 101.84 is: 152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 183.02 = 101.84 : x
  2. Step 2: Convert to fraction form
    122.16/183.02 = 101.84/x
  3. Step 3: Cross multiply
    122.16x = 183.02 × 101.84
  4. Step 4: Simplify right side
    122.16x = 18,638.76
  5. Step 5: Solve for x
    x = 18,638.76/122.16
  6. Step 6: Final answer
    x = 152.58

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Why These Related Problems?

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