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Finding the Fourth Proportional to 127.60, 190.16 and 124.86

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Solution

The fourth proportional to 127.60, 190.16 and 124.86 is: 186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.60 : 190.16 = 124.86 : x
  2. Step 2: Convert to fraction form
    127.60/190.16 = 124.86/x
  3. Step 3: Cross multiply
    127.60x = 190.16 × 124.86
  4. Step 4: Simplify right side
    127.60x = 23,743.38
  5. Step 5: Solve for x
    x = 23,743.38/127.60
  6. Step 6: Final answer
    x = 186.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.