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Finding the Fourth Proportional to 102.06, 152.22 and 99.02

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Solution

The fourth proportional to 102.06, 152.22 and 99.02 is: 147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 152.22 = 99.02 : x
  2. Step 2: Convert to fraction form
    102.06/152.22 = 99.02/x
  3. Step 3: Cross multiply
    102.06x = 152.22 × 99.02
  4. Step 4: Simplify right side
    102.06x = 15,072.82
  5. Step 5: Solve for x
    x = 15,072.82/102.06
  6. Step 6: Final answer
    x = 147.69

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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.