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Finding the Fourth Proportional to 145.40, 218.16 and 99.84

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Solution

The fourth proportional to 145.40, 218.16 and 99.84 is: 149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.40 : 218.16 = 99.84 : x
  2. Step 2: Convert to fraction form
    145.40/218.16 = 99.84/x
  3. Step 3: Cross multiply
    145.40x = 218.16 × 99.84
  4. Step 4: Simplify right side
    145.40x = 21,781.09
  5. Step 5: Solve for x
    x = 21,781.09/145.40
  6. Step 6: Final answer
    x = 149.80

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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.