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Finding the Fourth Proportional to 145.57, 218.21 and 49.32

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Solution

The fourth proportional to 145.57, 218.21 and 49.32 is: 73.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.57 : 218.21 = 49.32 : x
  2. Step 2: Convert to fraction form
    145.57/218.21 = 49.32/x
  3. Step 3: Cross multiply
    145.57x = 218.21 × 49.32
  4. Step 4: Simplify right side
    145.57x = 10,762.12
  5. Step 5: Solve for x
    x = 10,762.12/145.57
  6. Step 6: Final answer
    x = 73.93

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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.