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Finding the Fourth Proportional to 84.08, 116.06 and 53.05

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Solution

The fourth proportional to 84.08, 116.06 and 53.05 is: 73.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.08 : 116.06 = 53.05 : x
  2. Step 2: Convert to fraction form
    84.08/116.06 = 53.05/x
  3. Step 3: Cross multiply
    84.08x = 116.06 × 53.05
  4. Step 4: Simplify right side
    84.08x = 6,156.98
  5. Step 5: Solve for x
    x = 6,156.98/84.08
  6. Step 6: Final answer
    x = 73.23

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