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Finding the Fourth Proportional to 128.51, 177.47 and 81.97

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Solution

The fourth proportional to 128.51, 177.47 and 81.97 is: 113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.51 : 177.47 = 81.97 : x
  2. Step 2: Convert to fraction form
    128.51/177.47 = 81.97/x
  3. Step 3: Cross multiply
    128.51x = 177.47 × 81.97
  4. Step 4: Simplify right side
    128.51x = 14,547.22
  5. Step 5: Solve for x
    x = 14,547.22/128.51
  6. Step 6: Final answer
    x = 113.20

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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.