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Finding the Fourth Proportional to 128.16, 177.12 and 102.24

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Solution

The fourth proportional to 128.16, 177.12 and 102.24 is: 141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.16 : 177.12 = 102.24 : x
  2. Step 2: Convert to fraction form
    128.16/177.12 = 102.24/x
  3. Step 3: Cross multiply
    128.16x = 177.12 × 102.24
  4. Step 4: Simplify right side
    128.16x = 18,108.75
  5. Step 5: Solve for x
    x = 18,108.75/128.16
  6. Step 6: Final answer
    x = 141.30

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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.