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Finding the Fourth Proportional to 127.95, 191.88 and 45.67

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Solution

The fourth proportional to 127.95, 191.88 and 45.67 is: 68.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.95 : 191.88 = 45.67 : x
  2. Step 2: Convert to fraction form
    127.95/191.88 = 45.67/x
  3. Step 3: Cross multiply
    127.95x = 191.88 × 45.67
  4. Step 4: Simplify right side
    127.95x = 8,762.20
  5. Step 5: Solve for x
    x = 8,762.20/127.95
  6. Step 6: Final answer
    x = 68.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.