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Finding the Fourth Proportional to 145.61, 218.24 and 73.49

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Solution

The fourth proportional to 145.61, 218.24 and 73.49 is: 110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.61 : 218.24 = 73.49 : x
  2. Step 2: Convert to fraction form
    145.61/218.24 = 73.49/x
  3. Step 3: Cross multiply
    145.61x = 218.24 × 73.49
  4. Step 4: Simplify right side
    145.61x = 16,038.09
  5. Step 5: Solve for x
    x = 16,038.09/145.61
  6. Step 6: Final answer
    x = 110.14

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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.