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Finding the Fourth Proportional to 67.83, 93.75 and 49.53

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Solution

The fourth proportional to 67.83, 93.75 and 49.53 is: 68.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.83 : 93.75 = 49.53 : x
  2. Step 2: Convert to fraction form
    67.83/93.75 = 49.53/x
  3. Step 3: Cross multiply
    67.83x = 93.75 × 49.53
  4. Step 4: Simplify right side
    67.83x = 4,643.60
  5. Step 5: Solve for x
    x = 4,643.60/67.83
  6. Step 6: Final answer
    x = 68.46

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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.