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Finding the Fourth Proportional to 110.02, 164.91 and 45.00

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Solution

The fourth proportional to 110.02, 164.91 and 45.00 is: 67.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.02 : 164.91 = 45.00 : x
  2. Step 2: Convert to fraction form
    110.02/164.91 = 45.00/x
  3. Step 3: Cross multiply
    110.02x = 164.91 × 45.00
  4. Step 4: Simplify right side
    110.02x = 7,421.40
  5. Step 5: Solve for x
    x = 7,421.40/110.02
  6. Step 6: Final answer
    x = 67.45

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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.