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Finding the Fourth Proportional to 52.59, 72.60 and 37.08

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Solution

The fourth proportional to 52.59, 72.60 and 37.08 is: 51.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.59 : 72.60 = 37.08 : x
  2. Step 2: Convert to fraction form
    52.59/72.60 = 37.08/x
  3. Step 3: Cross multiply
    52.59x = 72.60 × 37.08
  4. Step 4: Simplify right side
    52.59x = 2,692.01
  5. Step 5: Solve for x
    x = 2,692.01/52.59
  6. Step 6: Final answer
    x = 51.19

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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.