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Finding the Fourth Proportional to 128.15, 176.82 and 72.89

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Solution

The fourth proportional to 128.15, 176.82 and 72.89 is: 100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.15 : 176.82 = 72.89 : x
  2. Step 2: Convert to fraction form
    128.15/176.82 = 72.89/x
  3. Step 3: Cross multiply
    128.15x = 176.82 × 72.89
  4. Step 4: Simplify right side
    128.15x = 12,887.53
  5. Step 5: Solve for x
    x = 12,887.53/128.15
  6. Step 6: Final answer
    x = 100.57

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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.