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Finding the Fourth Proportional to 128.42, 176.16 and 125.22

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Solution

The fourth proportional to 128.42, 176.16 and 125.22 is: 171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.42 : 176.16 = 125.22 : x
  2. Step 2: Convert to fraction form
    128.42/176.16 = 125.22/x
  3. Step 3: Cross multiply
    128.42x = 176.16 × 125.22
  4. Step 4: Simplify right side
    128.42x = 22,058.76
  5. Step 5: Solve for x
    x = 22,058.76/128.42
  6. Step 6: Final answer
    x = 171.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.