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Finding the Fourth Proportional to 47.10, 70.65 and 45.48

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Solution

The fourth proportional to 47.10, 70.65 and 45.48 is: 68.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.10 : 70.65 = 45.48 : x
  2. Step 2: Convert to fraction form
    47.10/70.65 = 45.48/x
  3. Step 3: Cross multiply
    47.10x = 70.65 × 45.48
  4. Step 4: Simplify right side
    47.10x = 3,213.16
  5. Step 5: Solve for x
    x = 3,213.16/47.10
  6. Step 6: Final answer
    x = 68.22

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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.