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Finding the Fourth Proportional to 104.89, 157.12 and 59.10

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Solution

The fourth proportional to 104.89, 157.12 and 59.10 is: 88.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.89 : 157.12 = 59.10 : x
  2. Step 2: Convert to fraction form
    104.89/157.12 = 59.10/x
  3. Step 3: Cross multiply
    104.89x = 157.12 × 59.10
  4. Step 4: Simplify right side
    104.89x = 9,285.01
  5. Step 5: Solve for x
    x = 9,285.01/104.89
  6. Step 6: Final answer
    x = 88.53

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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.