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Finding the Fourth Proportional to 145.52, 218.22 and 42.77

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Solution

The fourth proportional to 145.52, 218.22 and 42.77 is: 64.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.52 : 218.22 = 42.77 : x
  2. Step 2: Convert to fraction form
    145.52/218.22 = 42.77/x
  3. Step 3: Cross multiply
    145.52x = 218.22 × 42.77
  4. Step 4: Simplify right side
    145.52x = 9,333.27
  5. Step 5: Solve for x
    x = 9,333.27/145.52
  6. Step 6: Final answer
    x = 64.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.