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Finding the Fourth Proportional to 103.66, 154.64 and 88.27

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Solution

The fourth proportional to 103.66, 154.64 and 88.27 is: 131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.66 : 154.64 = 88.27 : x
  2. Step 2: Convert to fraction form
    103.66/154.64 = 88.27/x
  3. Step 3: Cross multiply
    103.66x = 154.64 × 88.27
  4. Step 4: Simplify right side
    103.66x = 13,650.07
  5. Step 5: Solve for x
    x = 13,650.07/103.66
  6. Step 6: Final answer
    x = 131.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.