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Finding the Fourth Proportional to 85.00, 117.29 and 48.15

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Solution

The fourth proportional to 85.00, 117.29 and 48.15 is: 66.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.00 : 117.29 = 48.15 : x
  2. Step 2: Convert to fraction form
    85.00/117.29 = 48.15/x
  3. Step 3: Cross multiply
    85.00x = 117.29 × 48.15
  4. Step 4: Simplify right side
    85.00x = 5,647.36
  5. Step 5: Solve for x
    x = 5,647.36/85.00
  6. Step 6: Final answer
    x = 66.44

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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.