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Finding the Fourth Proportional to 127.86, 175.50 and 116.93

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Solution

The fourth proportional to 127.86, 175.50 and 116.93 is: 160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 175.50 = 116.93 : x
  2. Step 2: Convert to fraction form
    127.86/175.50 = 116.93/x
  3. Step 3: Cross multiply
    127.86x = 175.50 × 116.93
  4. Step 4: Simplify right side
    127.86x = 20,520.34
  5. Step 5: Solve for x
    x = 20,520.34/127.86
  6. Step 6: Final answer
    x = 160.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.