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Finding the Fourth Proportional to 145.21, 217.81 and 37.00

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Solution

The fourth proportional to 145.21, 217.81 and 37.00 is: 55.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.21 : 217.81 = 37.00 : x
  2. Step 2: Convert to fraction form
    145.21/217.81 = 37.00/x
  3. Step 3: Cross multiply
    145.21x = 217.81 × 37.00
  4. Step 4: Simplify right side
    145.21x = 8,057.79
  5. Step 5: Solve for x
    x = 8,057.79/145.21
  6. Step 6: Final answer
    x = 55.49

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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.