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Finding the Fourth Proportional to 145.76, 218.63 and 37.55

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Solution

The fourth proportional to 145.76, 218.63 and 37.55 is: 56.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 218.63 = 37.55 : x
  2. Step 2: Convert to fraction form
    145.76/218.63 = 37.55/x
  3. Step 3: Cross multiply
    145.76x = 218.63 × 37.55
  4. Step 4: Simplify right side
    145.76x = 8,210.20
  5. Step 5: Solve for x
    x = 8,210.20/145.76
  6. Step 6: Final answer
    x = 56.33

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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.