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Finding the Fourth Proportional to 110.03, 164.89 and 58.65

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Solution

The fourth proportional to 110.03, 164.89 and 58.65 is: 87.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.03 : 164.89 = 58.65 : x
  2. Step 2: Convert to fraction form
    110.03/164.89 = 58.65/x
  3. Step 3: Cross multiply
    110.03x = 164.89 × 58.65
  4. Step 4: Simplify right side
    110.03x = 9,670.51
  5. Step 5: Solve for x
    x = 9,670.51/110.03
  6. Step 6: Final answer
    x = 87.89

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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.