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Finding the Fourth Proportional to 50.84, 70.14 and 39.16

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Solution

The fourth proportional to 50.84, 70.14 and 39.16 is: 54.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.84 : 70.14 = 39.16 : x
  2. Step 2: Convert to fraction form
    50.84/70.14 = 39.16/x
  3. Step 3: Cross multiply
    50.84x = 70.14 × 39.16
  4. Step 4: Simplify right side
    50.84x = 2,746.68
  5. Step 5: Solve for x
    x = 2,746.68/50.84
  6. Step 6: Final answer
    x = 54.03

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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.