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Finding the Fourth Proportional to 128.10, 192.14 and 89.47

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Solution

The fourth proportional to 128.10, 192.14 and 89.47 is: 134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.10 : 192.14 = 89.47 : x
  2. Step 2: Convert to fraction form
    128.10/192.14 = 89.47/x
  3. Step 3: Cross multiply
    128.10x = 192.14 × 89.47
  4. Step 4: Simplify right side
    128.10x = 17,190.77
  5. Step 5: Solve for x
    x = 17,190.77/128.10
  6. Step 6: Final answer
    x = 134.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.