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Finding the Fourth Proportional to 84.07, 116.04 and 53.02

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Solution

The fourth proportional to 84.07, 116.04 and 53.02 is: 73.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.07 : 116.04 = 53.02 : x
  2. Step 2: Convert to fraction form
    84.07/116.04 = 53.02/x
  3. Step 3: Cross multiply
    84.07x = 116.04 × 53.02
  4. Step 4: Simplify right side
    84.07x = 6,152.44
  5. Step 5: Solve for x
    x = 6,152.44/84.07
  6. Step 6: Final answer
    x = 73.18

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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.