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Finding the Fourth Proportional to 145.77, 218.63 and 37.56

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Solution

The fourth proportional to 145.77, 218.63 and 37.56 is: 56.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.77 : 218.63 = 37.56 : x
  2. Step 2: Convert to fraction form
    145.77/218.63 = 37.56/x
  3. Step 3: Cross multiply
    145.77x = 218.63 × 37.56
  4. Step 4: Simplify right side
    145.77x = 8,212.66
  5. Step 5: Solve for x
    x = 8,212.66/145.77
  6. Step 6: Final answer
    x = 56.34

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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.