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Finding the Fourth Proportional to 145.53, 218.09 and 84.58

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Solution

The fourth proportional to 145.53, 218.09 and 84.58 is: 126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.53 : 218.09 = 84.58 : x
  2. Step 2: Convert to fraction form
    145.53/218.09 = 84.58/x
  3. Step 3: Cross multiply
    145.53x = 218.09 × 84.58
  4. Step 4: Simplify right side
    145.53x = 18,445.72
  5. Step 5: Solve for x
    x = 18,445.72/145.53
  6. Step 6: Final answer
    x = 126.75

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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.