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Finding the Fourth Proportional to 102.66, 153.98 and 41.84

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Solution

The fourth proportional to 102.66, 153.98 and 41.84 is: 62.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.66 : 153.98 = 41.84 : x
  2. Step 2: Convert to fraction form
    102.66/153.98 = 41.84/x
  3. Step 3: Cross multiply
    102.66x = 153.98 × 41.84
  4. Step 4: Simplify right side
    102.66x = 6,442.52
  5. Step 5: Solve for x
    x = 6,442.52/102.66
  6. Step 6: Final answer
    x = 62.76

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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.