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Finding the Fourth Proportional to 52.08, 71.64 and 45.90

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Solution

The fourth proportional to 52.08, 71.64 and 45.90 is: 63.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.08 : 71.64 = 45.90 : x
  2. Step 2: Convert to fraction form
    52.08/71.64 = 45.90/x
  3. Step 3: Cross multiply
    52.08x = 71.64 × 45.90
  4. Step 4: Simplify right side
    52.08x = 3,288.28
  5. Step 5: Solve for x
    x = 3,288.28/52.08
  6. Step 6: Final answer
    x = 63.14

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Why These Related Problems?

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