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Finding the Fourth Proportional to 128.02, 176.58 and 111.62

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Solution

The fourth proportional to 128.02, 176.58 and 111.62 is: 153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.02 : 176.58 = 111.62 : x
  2. Step 2: Convert to fraction form
    128.02/176.58 = 111.62/x
  3. Step 3: Cross multiply
    128.02x = 176.58 × 111.62
  4. Step 4: Simplify right side
    128.02x = 19,708.98
  5. Step 5: Solve for x
    x = 19,708.98/128.02
  6. Step 6: Final answer
    x = 153.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.