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Finding the Fourth Proportional to 128.86, 177.82 and 70.64

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Solution

The fourth proportional to 128.86, 177.82 and 70.64 is: 97.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.86 : 177.82 = 70.64 : x
  2. Step 2: Convert to fraction form
    128.86/177.82 = 70.64/x
  3. Step 3: Cross multiply
    128.86x = 177.82 × 70.64
  4. Step 4: Simplify right side
    128.86x = 12,561.20
  5. Step 5: Solve for x
    x = 12,561.20/128.86
  6. Step 6: Final answer
    x = 97.48

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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.