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Finding the Fourth Proportional to 111.60, 154.01 and 69.58

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Solution

The fourth proportional to 111.60, 154.01 and 69.58 is: 96.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.60 : 154.01 = 69.58 : x
  2. Step 2: Convert to fraction form
    111.60/154.01 = 69.58/x
  3. Step 3: Cross multiply
    111.60x = 154.01 × 69.58
  4. Step 4: Simplify right side
    111.60x = 10,716.02
  5. Step 5: Solve for x
    x = 10,716.02/111.60
  6. Step 6: Final answer
    x = 96.02

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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.