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Finding the Fourth Proportional to 84.12, 116.13 and 53.06

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Solution

The fourth proportional to 84.12, 116.13 and 53.06 is: 73.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.12 : 116.13 = 53.06 : x
  2. Step 2: Convert to fraction form
    84.12/116.13 = 53.06/x
  3. Step 3: Cross multiply
    84.12x = 116.13 × 53.06
  4. Step 4: Simplify right side
    84.12x = 6,161.81
  5. Step 5: Solve for x
    x = 6,161.81/84.12
  6. Step 6: Final answer
    x = 73.25

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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.