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Finding the Fourth Proportional to 128.90, 192.89 and 101.57

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Solution

The fourth proportional to 128.90, 192.89 and 101.57 is: 151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.90 : 192.89 = 101.57 : x
  2. Step 2: Convert to fraction form
    128.90/192.89 = 101.57/x
  3. Step 3: Cross multiply
    128.90x = 192.89 × 101.57
  4. Step 4: Simplify right side
    128.90x = 19,590.37
  5. Step 5: Solve for x
    x = 19,590.37/128.90
  6. Step 6: Final answer
    x = 151.99

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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.