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Finding the Fourth Proportional to 145.58, 218.38 and 73.38

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Solution

The fourth proportional to 145.58, 218.38 and 73.38 is: 110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.58 : 218.38 = 73.38 : x
  2. Step 2: Convert to fraction form
    145.58/218.38 = 73.38/x
  3. Step 3: Cross multiply
    145.58x = 218.38 × 73.38
  4. Step 4: Simplify right side
    145.58x = 16,024.72
  5. Step 5: Solve for x
    x = 16,024.72/145.58
  6. Step 6: Final answer
    x = 110.08

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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.