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Finding the Fourth Proportional to 105.55, 145.59 and 64.12

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Solution

The fourth proportional to 105.55, 145.59 and 64.12 is: 88.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.55 : 145.59 = 64.12 : x
  2. Step 2: Convert to fraction form
    105.55/145.59 = 64.12/x
  3. Step 3: Cross multiply
    105.55x = 145.59 × 64.12
  4. Step 4: Simplify right side
    105.55x = 9,335.23
  5. Step 5: Solve for x
    x = 9,335.23/105.55
  6. Step 6: Final answer
    x = 88.44

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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.