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Finding the Fourth Proportional to 145.39, 218.07 and 37.17

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Solution

The fourth proportional to 145.39, 218.07 and 37.17 is: 55.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.39 : 218.07 = 37.17 : x
  2. Step 2: Convert to fraction form
    145.39/218.07 = 37.17/x
  3. Step 3: Cross multiply
    145.39x = 218.07 × 37.17
  4. Step 4: Simplify right side
    145.39x = 8,106.48
  5. Step 5: Solve for x
    x = 8,106.48/145.39
  6. Step 6: Final answer
    x = 55.76

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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.