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Finding the Fourth Proportional to 152.34, 209.88 and 105.69

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Solution

The fourth proportional to 152.34, 209.88 and 105.69 is: 145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.34 : 209.88 = 105.69 : x
  2. Step 2: Convert to fraction form
    152.34/209.88 = 105.69/x
  3. Step 3: Cross multiply
    152.34x = 209.88 × 105.69
  4. Step 4: Simplify right side
    152.34x = 22,182.22
  5. Step 5: Solve for x
    x = 22,182.22/152.34
  6. Step 6: Final answer
    x = 145.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.