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Finding the Fourth Proportional to 145.07, 217.58 and 42.33

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Solution

The fourth proportional to 145.07, 217.58 and 42.33 is: 63.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.07 : 217.58 = 42.33 : x
  2. Step 2: Convert to fraction form
    145.07/217.58 = 42.33/x
  3. Step 3: Cross multiply
    145.07x = 217.58 × 42.33
  4. Step 4: Simplify right side
    145.07x = 9,210.16
  5. Step 5: Solve for x
    x = 9,210.16/145.07
  6. Step 6: Final answer
    x = 63.49

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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.