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Finding the Fourth Proportional to 128.22, 177.06 and 114.64

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Solution

The fourth proportional to 128.22, 177.06 and 114.64 is: 158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.22 : 177.06 = 114.64 : x
  2. Step 2: Convert to fraction form
    128.22/177.06 = 114.64/x
  3. Step 3: Cross multiply
    128.22x = 177.06 × 114.64
  4. Step 4: Simplify right side
    128.22x = 20,298.16
  5. Step 5: Solve for x
    x = 20,298.16/128.22
  6. Step 6: Final answer
    x = 158.31

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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.