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Finding the Fourth Proportional to 102.65, 153.97 and 51.32

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Solution

The fourth proportional to 102.65, 153.97 and 51.32 is: 76.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.65 : 153.97 = 51.32 : x
  2. Step 2: Convert to fraction form
    102.65/153.97 = 51.32/x
  3. Step 3: Cross multiply
    102.65x = 153.97 × 51.32
  4. Step 4: Simplify right side
    102.65x = 7,900.84
  5. Step 5: Solve for x
    x = 7,900.84/102.65
  6. Step 6: Final answer
    x = 76.97

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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.