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Finding the Fourth Proportional to 145.06, 217.30 and 99.22

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Solution

The fourth proportional to 145.06, 217.30 and 99.22 is: 148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.06 : 217.30 = 99.22 : x
  2. Step 2: Convert to fraction form
    145.06/217.30 = 99.22/x
  3. Step 3: Cross multiply
    145.06x = 217.30 × 99.22
  4. Step 4: Simplify right side
    145.06x = 21,560.51
  5. Step 5: Solve for x
    x = 21,560.51/145.06
  6. Step 6: Final answer
    x = 148.63

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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.