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Finding the Fourth Proportional to 127.08, 174.86 and 123.50

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Solution

The fourth proportional to 127.08, 174.86 and 123.50 is: 169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.08 : 174.86 = 123.50 : x
  2. Step 2: Convert to fraction form
    127.08/174.86 = 123.50/x
  3. Step 3: Cross multiply
    127.08x = 174.86 × 123.50
  4. Step 4: Simplify right side
    127.08x = 21,595.21
  5. Step 5: Solve for x
    x = 21,595.21/127.08
  6. Step 6: Final answer
    x = 169.93

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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.