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Finding the Fourth Proportional to 102.33, 153.26 and 58.87

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Solution

The fourth proportional to 102.33, 153.26 and 58.87 is: 88.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.33 : 153.26 = 58.87 : x
  2. Step 2: Convert to fraction form
    102.33/153.26 = 58.87/x
  3. Step 3: Cross multiply
    102.33x = 153.26 × 58.87
  4. Step 4: Simplify right side
    102.33x = 9,022.01
  5. Step 5: Solve for x
    x = 9,022.01/102.33
  6. Step 6: Final answer
    x = 88.16

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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.