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Finding the Fourth Proportional to 52.09, 78.07 and 45.64

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Solution

The fourth proportional to 52.09, 78.07 and 45.64 is: 68.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.09 : 78.07 = 45.64 : x
  2. Step 2: Convert to fraction form
    52.09/78.07 = 45.64/x
  3. Step 3: Cross multiply
    52.09x = 78.07 × 45.64
  4. Step 4: Simplify right side
    52.09x = 3,562.89
  5. Step 5: Solve for x
    x = 3,562.89/52.09
  6. Step 6: Final answer
    x = 68.40

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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.