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Finding the Fourth Proportional to 65.83, 90.92 and 53.68

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Solution

The fourth proportional to 65.83, 90.92 and 53.68 is: 74.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.83 : 90.92 = 53.68 : x
  2. Step 2: Convert to fraction form
    65.83/90.92 = 53.68/x
  3. Step 3: Cross multiply
    65.83x = 90.92 × 53.68
  4. Step 4: Simplify right side
    65.83x = 4,880.59
  5. Step 5: Solve for x
    x = 4,880.59/65.83
  6. Step 6: Final answer
    x = 74.14

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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.