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Finding the Fourth Proportional to 84.90, 117.06 and 71.08

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Solution

The fourth proportional to 84.90, 117.06 and 71.08 is: 98.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.90 : 117.06 = 71.08 : x
  2. Step 2: Convert to fraction form
    84.90/117.06 = 71.08/x
  3. Step 3: Cross multiply
    84.90x = 117.06 × 71.08
  4. Step 4: Simplify right side
    84.90x = 8,320.17
  5. Step 5: Solve for x
    x = 8,320.17/84.90
  6. Step 6: Final answer
    x = 98.00

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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.