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Finding the Fourth Proportional to 145.81, 218.64 and 54.46

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Solution

The fourth proportional to 145.81, 218.64 and 54.46 is: 81.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.81 : 218.64 = 54.46 : x
  2. Step 2: Convert to fraction form
    145.81/218.64 = 54.46/x
  3. Step 3: Cross multiply
    145.81x = 218.64 × 54.46
  4. Step 4: Simplify right side
    145.81x = 11,907.13
  5. Step 5: Solve for x
    x = 11,907.13/145.81
  6. Step 6: Final answer
    x = 81.66

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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.