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Finding the Fourth Proportional to 102.72, 141.74 and 89.01

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Solution

The fourth proportional to 102.72, 141.74 and 89.01 is: 122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.72 : 141.74 = 89.01 : x
  2. Step 2: Convert to fraction form
    102.72/141.74 = 89.01/x
  3. Step 3: Cross multiply
    102.72x = 141.74 × 89.01
  4. Step 4: Simplify right side
    102.72x = 12,615.83
  5. Step 5: Solve for x
    x = 12,615.83/102.72
  6. Step 6: Final answer
    x = 122.82

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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.