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Finding the Fourth Proportional to 102.32, 140.97 and 69.51

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Solution

The fourth proportional to 102.32, 140.97 and 69.51 is: 95.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.32 : 140.97 = 69.51 : x
  2. Step 2: Convert to fraction form
    102.32/140.97 = 69.51/x
  3. Step 3: Cross multiply
    102.32x = 140.97 × 69.51
  4. Step 4: Simplify right side
    102.32x = 9,798.82
  5. Step 5: Solve for x
    x = 9,798.82/102.32
  6. Step 6: Final answer
    x = 95.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.