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Finding the Fourth Proportional to 102.07, 152.82 and 74.68

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Solution

The fourth proportional to 102.07, 152.82 and 74.68 is: 111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.07 : 152.82 = 74.68 : x
  2. Step 2: Convert to fraction form
    102.07/152.82 = 74.68/x
  3. Step 3: Cross multiply
    102.07x = 152.82 × 74.68
  4. Step 4: Simplify right side
    102.07x = 11,412.60
  5. Step 5: Solve for x
    x = 11,412.60/102.07
  6. Step 6: Final answer
    x = 111.81

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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.