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Finding the Fourth Proportional to 173.55, 260.27 and 58.01

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Solution

The fourth proportional to 173.55, 260.27 and 58.01 is: 87.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.55 : 260.27 = 58.01 : x
  2. Step 2: Convert to fraction form
    173.55/260.27 = 58.01/x
  3. Step 3: Cross multiply
    173.55x = 260.27 × 58.01
  4. Step 4: Simplify right side
    173.55x = 15,098.26
  5. Step 5: Solve for x
    x = 15,098.26/173.55
  6. Step 6: Final answer
    x = 87.00

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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.