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Finding the Fourth Proportional to 127.58, 175.92 and 111.16

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Solution

The fourth proportional to 127.58, 175.92 and 111.16 is: 153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.58 : 175.92 = 111.16 : x
  2. Step 2: Convert to fraction form
    127.58/175.92 = 111.16/x
  3. Step 3: Cross multiply
    127.58x = 175.92 × 111.16
  4. Step 4: Simplify right side
    127.58x = 19,555.27
  5. Step 5: Solve for x
    x = 19,555.27/127.58
  6. Step 6: Final answer
    x = 153.28

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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.