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Finding the Fourth Proportional to 52.95, 72.51 and 51.51

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Solution

The fourth proportional to 52.95, 72.51 and 51.51 is: 70.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.95 : 72.51 = 51.51 : x
  2. Step 2: Convert to fraction form
    52.95/72.51 = 51.51/x
  3. Step 3: Cross multiply
    52.95x = 72.51 × 51.51
  4. Step 4: Simplify right side
    52.95x = 3,734.99
  5. Step 5: Solve for x
    x = 3,734.99/52.95
  6. Step 6: Final answer
    x = 70.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.