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Finding the Fourth Proportional to 57.02, 78.60 and 47.66

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Solution

The fourth proportional to 57.02, 78.60 and 47.66 is: 65.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 78.60 = 47.66 : x
  2. Step 2: Convert to fraction form
    57.02/78.60 = 47.66/x
  3. Step 3: Cross multiply
    57.02x = 78.60 × 47.66
  4. Step 4: Simplify right side
    57.02x = 3,746.08
  5. Step 5: Solve for x
    x = 3,746.08/57.02
  6. Step 6: Final answer
    x = 65.70

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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.