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Finding the Fourth Proportional to 127.10, 175.46 and 78.05

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Solution

The fourth proportional to 127.10, 175.46 and 78.05 is: 107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.10 : 175.46 = 78.05 : x
  2. Step 2: Convert to fraction form
    127.10/175.46 = 78.05/x
  3. Step 3: Cross multiply
    127.10x = 175.46 × 78.05
  4. Step 4: Simplify right side
    127.10x = 13,693.39
  5. Step 5: Solve for x
    x = 13,693.39/127.10
  6. Step 6: Final answer
    x = 107.74

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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.