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Finding the Fourth Proportional to 52.65, 78.54 and 51.30

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Solution

The fourth proportional to 52.65, 78.54 and 51.30 is: 76.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.65 : 78.54 = 51.30 : x
  2. Step 2: Convert to fraction form
    52.65/78.54 = 51.30/x
  3. Step 3: Cross multiply
    52.65x = 78.54 × 51.30
  4. Step 4: Simplify right side
    52.65x = 4,029.10
  5. Step 5: Solve for x
    x = 4,029.10/52.65
  6. Step 6: Final answer
    x = 76.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.