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Finding the Fourth Proportional to 111.16, 153.56 and 78.35

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Solution

The fourth proportional to 111.16, 153.56 and 78.35 is: 108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.16 : 153.56 = 78.35 : x
  2. Step 2: Convert to fraction form
    111.16/153.56 = 78.35/x
  3. Step 3: Cross multiply
    111.16x = 153.56 × 78.35
  4. Step 4: Simplify right side
    111.16x = 12,031.03
  5. Step 5: Solve for x
    x = 12,031.03/111.16
  6. Step 6: Final answer
    x = 108.24

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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.