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Finding the Fourth Proportional to 58.94, 88.42 and 24.71

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Solution

The fourth proportional to 58.94, 88.42 and 24.71 is: 37.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.94 : 88.42 = 24.71 : x
  2. Step 2: Convert to fraction form
    58.94/88.42 = 24.71/x
  3. Step 3: Cross multiply
    58.94x = 88.42 × 24.71
  4. Step 4: Simplify right side
    58.94x = 2,185.02
  5. Step 5: Solve for x
    x = 2,185.02/58.94
  6. Step 6: Final answer
    x = 37.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.