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Finding the Fourth Proportional to 85.61, 118.10 and 56.16

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Solution

The fourth proportional to 85.61, 118.10 and 56.16 is: 77.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.61 : 118.10 = 56.16 : x
  2. Step 2: Convert to fraction form
    85.61/118.10 = 56.16/x
  3. Step 3: Cross multiply
    85.61x = 118.10 × 56.16
  4. Step 4: Simplify right side
    85.61x = 6,632.22
  5. Step 5: Solve for x
    x = 6,632.22/85.61
  6. Step 6: Final answer
    x = 77.47

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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.