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Finding the Fourth Proportional to 145.14, 217.64 and 99.77

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Solution

The fourth proportional to 145.14, 217.64 and 99.77 is: 149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 217.64 = 99.77 : x
  2. Step 2: Convert to fraction form
    145.14/217.64 = 99.77/x
  3. Step 3: Cross multiply
    145.14x = 217.64 × 99.77
  4. Step 4: Simplify right side
    145.14x = 21,712.36
  5. Step 5: Solve for x
    x = 21,712.36/145.14
  6. Step 6: Final answer
    x = 149.60

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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.