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Finding the Fourth Proportional to 53.60, 80.06 and 46.02

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Solution

The fourth proportional to 53.60, 80.06 and 46.02 is: 68.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.60 : 80.06 = 46.02 : x
  2. Step 2: Convert to fraction form
    53.60/80.06 = 46.02/x
  3. Step 3: Cross multiply
    53.60x = 80.06 × 46.02
  4. Step 4: Simplify right side
    53.60x = 3,684.36
  5. Step 5: Solve for x
    x = 3,684.36/53.60
  6. Step 6: Final answer
    x = 68.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.