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Finding the Fourth Proportional to 127.90, 190.72 and 117.10

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Solution

The fourth proportional to 127.90, 190.72 and 117.10 is: 174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.90 : 190.72 = 117.10 : x
  2. Step 2: Convert to fraction form
    127.90/190.72 = 117.10/x
  3. Step 3: Cross multiply
    127.90x = 190.72 × 117.10
  4. Step 4: Simplify right side
    127.90x = 22,333.31
  5. Step 5: Solve for x
    x = 22,333.31/127.90
  6. Step 6: Final answer
    x = 174.62

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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.