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Finding the Fourth Proportional to 89.87, 135.08 and 58.01

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Solution

The fourth proportional to 89.87, 135.08 and 58.01 is: 87.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.87 : 135.08 = 58.01 : x
  2. Step 2: Convert to fraction form
    89.87/135.08 = 58.01/x
  3. Step 3: Cross multiply
    89.87x = 135.08 × 58.01
  4. Step 4: Simplify right side
    89.87x = 7,835.99
  5. Step 5: Solve for x
    x = 7,835.99/89.87
  6. Step 6: Final answer
    x = 87.19

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Why These Related Problems?

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