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Finding the Fourth Proportional to 105.64, 145.77 and 64.21

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Solution

The fourth proportional to 105.64, 145.77 and 64.21 is: 88.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 145.77 = 64.21 : x
  2. Step 2: Convert to fraction form
    105.64/145.77 = 64.21/x
  3. Step 3: Cross multiply
    105.64x = 145.77 × 64.21
  4. Step 4: Simplify right side
    105.64x = 9,359.89
  5. Step 5: Solve for x
    x = 9,359.89/105.64
  6. Step 6: Final answer
    x = 88.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.