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Finding the Fourth Proportional to 59.51, 82.04 and 52.58

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Solution

The fourth proportional to 59.51, 82.04 and 52.58 is: 72.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.51 : 82.04 = 52.58 : x
  2. Step 2: Convert to fraction form
    59.51/82.04 = 52.58/x
  3. Step 3: Cross multiply
    59.51x = 82.04 × 52.58
  4. Step 4: Simplify right side
    59.51x = 4,313.61
  5. Step 5: Solve for x
    x = 4,313.61/59.51
  6. Step 6: Final answer
    x = 72.48

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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.