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Finding the Fourth Proportional to 103.57, 143.03 and 88.93

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Solution

The fourth proportional to 103.57, 143.03 and 88.93 is: 122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.57 : 143.03 = 88.93 : x
  2. Step 2: Convert to fraction form
    103.57/143.03 = 88.93/x
  3. Step 3: Cross multiply
    103.57x = 143.03 × 88.93
  4. Step 4: Simplify right side
    103.57x = 12,719.66
  5. Step 5: Solve for x
    x = 12,719.66/103.57
  6. Step 6: Final answer
    x = 122.81

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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.