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Finding the Fourth Proportional to 145.05, 217.40 and 53.64

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Solution

The fourth proportional to 145.05, 217.40 and 53.64 is: 80.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.05 : 217.40 = 53.64 : x
  2. Step 2: Convert to fraction form
    145.05/217.40 = 53.64/x
  3. Step 3: Cross multiply
    145.05x = 217.40 × 53.64
  4. Step 4: Simplify right side
    145.05x = 11,661.34
  5. Step 5: Solve for x
    x = 11,661.34/145.05
  6. Step 6: Final answer
    x = 80.40

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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.