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Finding the Fourth Proportional to 127.16, 175.48 and 78.03

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Solution

The fourth proportional to 127.16, 175.48 and 78.03 is: 107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.16 : 175.48 = 78.03 : x
  2. Step 2: Convert to fraction form
    127.16/175.48 = 78.03/x
  3. Step 3: Cross multiply
    127.16x = 175.48 × 78.03
  4. Step 4: Simplify right side
    127.16x = 13,692.51
  5. Step 5: Solve for x
    x = 13,692.51/127.16
  6. Step 6: Final answer
    x = 107.68

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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.