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Finding the Fourth Proportional to 122.50, 184.57 and 101.30

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Solution

The fourth proportional to 122.50, 184.57 and 101.30 is: 152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.50 : 184.57 = 101.30 : x
  2. Step 2: Convert to fraction form
    122.50/184.57 = 101.30/x
  3. Step 3: Cross multiply
    122.50x = 184.57 × 101.30
  4. Step 4: Simplify right side
    122.50x = 18,698.07
  5. Step 5: Solve for x
    x = 18,698.07/122.50
  6. Step 6: Final answer
    x = 152.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.