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Finding the Fourth Proportional to 152.82, 210.89 and 103.61

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Solution

The fourth proportional to 152.82, 210.89 and 103.61 is: 142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.82 : 210.89 = 103.61 : x
  2. Step 2: Convert to fraction form
    152.82/210.89 = 103.61/x
  3. Step 3: Cross multiply
    152.82x = 210.89 × 103.61
  4. Step 4: Simplify right side
    152.82x = 21,848.74
  5. Step 5: Solve for x
    x = 21,848.74/152.82
  6. Step 6: Final answer
    x = 142.98

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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.