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Finding the Fourth Proportional to 45.42, 62.64 and 35.70

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Solution

The fourth proportional to 45.42, 62.64 and 35.70 is: 49.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.42 : 62.64 = 35.70 : x
  2. Step 2: Convert to fraction form
    45.42/62.64 = 35.70/x
  3. Step 3: Cross multiply
    45.42x = 62.64 × 35.70
  4. Step 4: Simplify right side
    45.42x = 2,236.25
  5. Step 5: Solve for x
    x = 2,236.25/45.42
  6. Step 6: Final answer
    x = 49.23

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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.