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Finding the Fourth Proportional to 102.78, 153.32 and 96.57

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Solution

The fourth proportional to 102.78, 153.32 and 96.57 is: 144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.78 : 153.32 = 96.57 : x
  2. Step 2: Convert to fraction form
    102.78/153.32 = 96.57/x
  3. Step 3: Cross multiply
    102.78x = 153.32 × 96.57
  4. Step 4: Simplify right side
    102.78x = 14,805.63
  5. Step 5: Solve for x
    x = 14,805.63/102.78
  6. Step 6: Final answer
    x = 144.05

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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.