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Finding the Fourth Proportional to 111.64, 153.98 and 77.16

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Solution

The fourth proportional to 111.64, 153.98 and 77.16 is: 106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.64 : 153.98 = 77.16 : x
  2. Step 2: Convert to fraction form
    111.64/153.98 = 77.16/x
  3. Step 3: Cross multiply
    111.64x = 153.98 × 77.16
  4. Step 4: Simplify right side
    111.64x = 11,881.10
  5. Step 5: Solve for x
    x = 11,881.10/111.64
  6. Step 6: Final answer
    x = 106.42

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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.