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Finding the Fourth Proportional to 53.04, 79.47 and 47.86

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Solution

The fourth proportional to 53.04, 79.47 and 47.86 is: 71.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.04 : 79.47 = 47.86 : x
  2. Step 2: Convert to fraction form
    53.04/79.47 = 47.86/x
  3. Step 3: Cross multiply
    53.04x = 79.47 × 47.86
  4. Step 4: Simplify right side
    53.04x = 3,803.43
  5. Step 5: Solve for x
    x = 3,803.43/53.04
  6. Step 6: Final answer
    x = 71.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.