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Finding the Fourth Proportional to 58.06, 86.63 and 47.98

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Solution

The fourth proportional to 58.06, 86.63 and 47.98 is: 71.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.06 : 86.63 = 47.98 : x
  2. Step 2: Convert to fraction form
    58.06/86.63 = 47.98/x
  3. Step 3: Cross multiply
    58.06x = 86.63 × 47.98
  4. Step 4: Simplify right side
    58.06x = 4,156.51
  5. Step 5: Solve for x
    x = 4,156.51/58.06
  6. Step 6: Final answer
    x = 71.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.