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Finding the Fourth Proportional to 145.69, 218.32 and 111.34

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Solution

The fourth proportional to 145.69, 218.32 and 111.34 is: 166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.69 : 218.32 = 111.34 : x
  2. Step 2: Convert to fraction form
    145.69/218.32 = 111.34/x
  3. Step 3: Cross multiply
    145.69x = 218.32 × 111.34
  4. Step 4: Simplify right side
    145.69x = 24,307.75
  5. Step 5: Solve for x
    x = 24,307.75/145.69
  6. Step 6: Final answer
    x = 166.85

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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.