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Finding the Fourth Proportional to 45.12, 67.70 and 34.64

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Solution

The fourth proportional to 45.12, 67.70 and 34.64 is: 51.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.12 : 67.70 = 34.64 : x
  2. Step 2: Convert to fraction form
    45.12/67.70 = 34.64/x
  3. Step 3: Cross multiply
    45.12x = 67.70 × 34.64
  4. Step 4: Simplify right side
    45.12x = 2,345.13
  5. Step 5: Solve for x
    x = 2,345.13/45.12
  6. Step 6: Final answer
    x = 51.98

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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.