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Finding the Fourth Proportional to 52.58, 72.50 and 42.24

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Solution

The fourth proportional to 52.58, 72.50 and 42.24 is: 58.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.58 : 72.50 = 42.24 : x
  2. Step 2: Convert to fraction form
    52.58/72.50 = 42.24/x
  3. Step 3: Cross multiply
    52.58x = 72.50 × 42.24
  4. Step 4: Simplify right side
    52.58x = 3,062.40
  5. Step 5: Solve for x
    x = 3,062.40/52.58
  6. Step 6: Final answer
    x = 58.24

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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.