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Finding the Fourth Proportional to 102.40, 152.96 and 76.58

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Solution

The fourth proportional to 102.40, 152.96 and 76.58 is: 114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.40 : 152.96 = 76.58 : x
  2. Step 2: Convert to fraction form
    102.40/152.96 = 76.58/x
  3. Step 3: Cross multiply
    102.40x = 152.96 × 76.58
  4. Step 4: Simplify right side
    102.40x = 11,713.10
  5. Step 5: Solve for x
    x = 11,713.10/102.40
  6. Step 6: Final answer
    x = 114.39

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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.