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Finding the Fourth Proportional to 145.01, 218.59 and 135.09

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Solution

The fourth proportional to 145.01, 218.59 and 135.09 is: 203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.01 : 218.59 = 135.09 : x
  2. Step 2: Convert to fraction form
    145.01/218.59 = 135.09/x
  3. Step 3: Cross multiply
    145.01x = 218.59 × 135.09
  4. Step 4: Simplify right side
    145.01x = 29,528.99
  5. Step 5: Solve for x
    x = 29,528.99/145.01
  6. Step 6: Final answer
    x = 203.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.