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Finding the Fourth Proportional to 145.35, 217.53 and 99.77

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Solution

The fourth proportional to 145.35, 217.53 and 99.77 is: 149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.35 : 217.53 = 99.77 : x
  2. Step 2: Convert to fraction form
    145.35/217.53 = 99.77/x
  3. Step 3: Cross multiply
    145.35x = 217.53 × 99.77
  4. Step 4: Simplify right side
    145.35x = 21,701.88
  5. Step 5: Solve for x
    x = 21,701.88/145.35
  6. Step 6: Final answer
    x = 149.31

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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.