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Finding the Fourth Proportional to 92.65, 127.85 and 51.19

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Solution

The fourth proportional to 92.65, 127.85 and 51.19 is: 70.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.65 : 127.85 = 51.19 : x
  2. Step 2: Convert to fraction form
    92.65/127.85 = 51.19/x
  3. Step 3: Cross multiply
    92.65x = 127.85 × 51.19
  4. Step 4: Simplify right side
    92.65x = 6,544.55
  5. Step 5: Solve for x
    x = 6,544.55/92.65
  6. Step 6: Final answer
    x = 70.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.