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Finding the Fourth Proportional to 111.56, 153.62 and 85.32

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Solution

The fourth proportional to 111.56, 153.62 and 85.32 is: 117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.56 : 153.62 = 85.32 : x
  2. Step 2: Convert to fraction form
    111.56/153.62 = 85.32/x
  3. Step 3: Cross multiply
    111.56x = 153.62 × 85.32
  4. Step 4: Simplify right side
    111.56x = 13,106.86
  5. Step 5: Solve for x
    x = 13,106.86/111.56
  6. Step 6: Final answer
    x = 117.49

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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.