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Finding the Fourth Proportional to 84.80, 117.06 and 64.08

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Solution

The fourth proportional to 84.80, 117.06 and 64.08 is: 88.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.80 : 117.06 = 64.08 : x
  2. Step 2: Convert to fraction form
    84.80/117.06 = 64.08/x
  3. Step 3: Cross multiply
    84.80x = 117.06 × 64.08
  4. Step 4: Simplify right side
    84.80x = 7,500.96
  5. Step 5: Solve for x
    x = 7,500.96/84.80
  6. Step 6: Final answer
    x = 88.45

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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.