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Finding the Fourth Proportional to 47.06, 65.24 and 45.39

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Solution

The fourth proportional to 47.06, 65.24 and 45.39 is: 62.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.06 : 65.24 = 45.39 : x
  2. Step 2: Convert to fraction form
    47.06/65.24 = 45.39/x
  3. Step 3: Cross multiply
    47.06x = 65.24 × 45.39
  4. Step 4: Simplify right side
    47.06x = 2,961.19
  5. Step 5: Solve for x
    x = 2,961.19/47.06
  6. Step 6: Final answer
    x = 62.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.