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Finding the Fourth Proportional to 102.04, 140.53 and 84.63

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Solution

The fourth proportional to 102.04, 140.53 and 84.63 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.04 : 140.53 = 84.63 : x
  2. Step 2: Convert to fraction form
    102.04/140.53 = 84.63/x
  3. Step 3: Cross multiply
    102.04x = 140.53 × 84.63
  4. Step 4: Simplify right side
    102.04x = 11,893.05
  5. Step 5: Solve for x
    x = 11,893.05/102.04
  6. Step 6: Final answer
    x = 116.55

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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.