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Finding the Fourth Proportional to 102, 153.02 and 47.82

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Solution

The fourth proportional to 102, 153.02 and 47.82 is: 71.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 153.02 = 47.82 : x
  2. Step 2: Convert to fraction form
    102/153.02 = 47.82/x
  3. Step 3: Cross multiply
    102x = 153.02 × 47.82
  4. Step 4: Simplify right side
    102x = 7,317.42
  5. Step 5: Solve for x
    x = 7,317.42/102
  6. Step 6: Final answer
    x = 71.74

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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.