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Finding the Fourth Proportional to 52.59, 72.50 and 42.18

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Solution

The fourth proportional to 52.59, 72.50 and 42.18 is: 58.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.59 : 72.50 = 42.18 : x
  2. Step 2: Convert to fraction form
    52.59/72.50 = 42.18/x
  3. Step 3: Cross multiply
    52.59x = 72.50 × 42.18
  4. Step 4: Simplify right side
    52.59x = 3,057.84
  5. Step 5: Solve for x
    x = 3,057.84/52.59
  6. Step 6: Final answer
    x = 58.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.