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Finding the Fourth Proportional to 85.61, 117.76 and 75.06

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Solution

The fourth proportional to 85.61, 117.76 and 75.06 is: 103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.61 : 117.76 = 75.06 : x
  2. Step 2: Convert to fraction form
    85.61/117.76 = 75.06/x
  3. Step 3: Cross multiply
    85.61x = 117.76 × 75.06
  4. Step 4: Simplify right side
    85.61x = 8,838.65
  5. Step 5: Solve for x
    x = 8,838.65/85.61
  6. Step 6: Final answer
    x = 103.25

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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.