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Finding the Fourth Proportional to 102.12, 152.74 and 76.47

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Solution

The fourth proportional to 102.12, 152.74 and 76.47 is: 114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.12 : 152.74 = 76.47 : x
  2. Step 2: Convert to fraction form
    102.12/152.74 = 76.47/x
  3. Step 3: Cross multiply
    102.12x = 152.74 × 76.47
  4. Step 4: Simplify right side
    102.12x = 11,680.03
  5. Step 5: Solve for x
    x = 11,680.03/102.12
  6. Step 6: Final answer
    x = 114.38

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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.