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Finding the Fourth Proportional to 102.29, 152.23 and 98.64

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Solution

The fourth proportional to 102.29, 152.23 and 98.64 is: 146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.29 : 152.23 = 98.64 : x
  2. Step 2: Convert to fraction form
    102.29/152.23 = 98.64/x
  3. Step 3: Cross multiply
    102.29x = 152.23 × 98.64
  4. Step 4: Simplify right side
    102.29x = 15,016.33
  5. Step 5: Solve for x
    x = 15,016.33/102.29
  6. Step 6: Final answer
    x = 146.80

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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.