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Finding the Fourth Proportional to 71.88, 99.17 and 51.19

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Solution

The fourth proportional to 71.88, 99.17 and 51.19 is: 70.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.88 : 99.17 = 51.19 : x
  2. Step 2: Convert to fraction form
    71.88/99.17 = 51.19/x
  3. Step 3: Cross multiply
    71.88x = 99.17 × 51.19
  4. Step 4: Simplify right side
    71.88x = 5,076.51
  5. Step 5: Solve for x
    x = 5,076.51/71.88
  6. Step 6: Final answer
    x = 70.62

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Why These Related Problems?

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