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Finding the Fourth Proportional to 102.45, 153.50 and 61.78

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Solution

The fourth proportional to 102.45, 153.50 and 61.78 is: 92.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.45 : 153.50 = 61.78 : x
  2. Step 2: Convert to fraction form
    102.45/153.50 = 61.78/x
  3. Step 3: Cross multiply
    102.45x = 153.50 × 61.78
  4. Step 4: Simplify right side
    102.45x = 9,482.92
  5. Step 5: Solve for x
    x = 9,482.92/102.45
  6. Step 6: Final answer
    x = 92.57

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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.