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Finding the Fourth Proportional to 128.24, 177.02 and 78.45

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Solution

The fourth proportional to 128.24, 177.02 and 78.45 is: 108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.24 : 177.02 = 78.45 : x
  2. Step 2: Convert to fraction form
    128.24/177.02 = 78.45/x
  3. Step 3: Cross multiply
    128.24x = 177.02 × 78.45
  4. Step 4: Simplify right side
    128.24x = 13,886.83
  5. Step 5: Solve for x
    x = 13,886.83/128.24
  6. Step 6: Final answer
    x = 108.29

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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.