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Finding the Fourth Proportional to 84.78, 117.02 and 52.03

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Solution

The fourth proportional to 84.78, 117.02 and 52.03 is: 71.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.78 : 117.02 = 52.03 : x
  2. Step 2: Convert to fraction form
    84.78/117.02 = 52.03/x
  3. Step 3: Cross multiply
    84.78x = 117.02 × 52.03
  4. Step 4: Simplify right side
    84.78x = 6,088.55
  5. Step 5: Solve for x
    x = 6,088.55/84.78
  6. Step 6: Final answer
    x = 71.82

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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.