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Finding the Fourth Proportional to 127.60, 190.32 and 117.11

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Solution

The fourth proportional to 127.60, 190.32 and 117.11 is: 174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.60 : 190.32 = 117.11 : x
  2. Step 2: Convert to fraction form
    127.60/190.32 = 117.11/x
  3. Step 3: Cross multiply
    127.60x = 190.32 × 117.11
  4. Step 4: Simplify right side
    127.60x = 22,288.38
  5. Step 5: Solve for x
    x = 22,288.38/127.60
  6. Step 6: Final answer
    x = 174.67

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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.