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Finding the Fourth Proportional to 45, 61.70 and 40.14

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Solution

The fourth proportional to 45, 61.70 and 40.14 is: 55.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45 : 61.70 = 40.14 : x
  2. Step 2: Convert to fraction form
    45/61.70 = 40.14/x
  3. Step 3: Cross multiply
    45x = 61.70 × 40.14
  4. Step 4: Simplify right side
    45x = 2,476.64
  5. Step 5: Solve for x
    x = 2,476.64/45
  6. Step 6: Final answer
    x = 55.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.