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Finding the Fourth Proportional to 45.25, 62.34 and 37.01

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Solution

The fourth proportional to 45.25, 62.34 and 37.01 is: 50.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.25 : 62.34 = 37.01 : x
  2. Step 2: Convert to fraction form
    45.25/62.34 = 37.01/x
  3. Step 3: Cross multiply
    45.25x = 62.34 × 37.01
  4. Step 4: Simplify right side
    45.25x = 2,307.22
  5. Step 5: Solve for x
    x = 2,307.22/45.25
  6. Step 6: Final answer
    x = 50.99

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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.