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Finding the Fourth Proportional to 102.04, 152 and 96.52

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Solution

The fourth proportional to 102.04, 152 and 96.52 is: 143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.04 : 152 = 96.52 : x
  2. Step 2: Convert to fraction form
    102.04/152 = 96.52/x
  3. Step 3: Cross multiply
    102.04x = 152 × 96.52
  4. Step 4: Simplify right side
    102.04x = 14,671.04
  5. Step 5: Solve for x
    x = 14,671.04/102.04
  6. Step 6: Final answer
    x = 143.78

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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.