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Finding the Fourth Proportional to 85.10, 117.52 and 77.81

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Solution

The fourth proportional to 85.10, 117.52 and 77.81 is: 107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.10 : 117.52 = 77.81 : x
  2. Step 2: Convert to fraction form
    85.10/117.52 = 77.81/x
  3. Step 3: Cross multiply
    85.10x = 117.52 × 77.81
  4. Step 4: Simplify right side
    85.10x = 9,143.45
  5. Step 5: Solve for x
    x = 9,143.45/85.10
  6. Step 6: Final answer
    x = 107.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.