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Finding the Fourth Proportional to 352.61, 528.95 and 96.11

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Solution

The fourth proportional to 352.61, 528.95 and 96.11 is: 144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.61 : 528.95 = 96.11 : x
  2. Step 2: Convert to fraction form
    352.61/528.95 = 96.11/x
  3. Step 3: Cross multiply
    352.61x = 528.95 × 96.11
  4. Step 4: Simplify right side
    352.61x = 50,837.38
  5. Step 5: Solve for x
    x = 50,837.38/352.61
  6. Step 6: Final answer
    x = 144.17

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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.