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Finding the Fourth Proportional to 102.16, 153.06 and 67.84

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Solution

The fourth proportional to 102.16, 153.06 and 67.84 is: 101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.16 : 153.06 = 67.84 : x
  2. Step 2: Convert to fraction form
    102.16/153.06 = 67.84/x
  3. Step 3: Cross multiply
    102.16x = 153.06 × 67.84
  4. Step 4: Simplify right side
    102.16x = 10,383.59
  5. Step 5: Solve for x
    x = 10,383.59/102.16
  6. Step 6: Final answer
    x = 101.64

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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.