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Finding the Fourth Proportional to 58.24, 86.67 and 58.06

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Solution

The fourth proportional to 58.24, 86.67 and 58.06 is: 86.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.24 : 86.67 = 58.06 : x
  2. Step 2: Convert to fraction form
    58.24/86.67 = 58.06/x
  3. Step 3: Cross multiply
    58.24x = 86.67 × 58.06
  4. Step 4: Simplify right side
    58.24x = 5,032.06
  5. Step 5: Solve for x
    x = 5,032.06/58.24
  6. Step 6: Final answer
    x = 86.40

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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.