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Finding the Fourth Proportional to 145.02, 199.80 and 117.30

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Solution

The fourth proportional to 145.02, 199.80 and 117.30 is: 161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.02 : 199.80 = 117.30 : x
  2. Step 2: Convert to fraction form
    145.02/199.80 = 117.30/x
  3. Step 3: Cross multiply
    145.02x = 199.80 × 117.30
  4. Step 4: Simplify right side
    145.02x = 23,436.54
  5. Step 5: Solve for x
    x = 23,436.54/145.02
  6. Step 6: Final answer
    x = 161.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.