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Finding the Fourth Proportional to 105.52, 145.59 and 64.08

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Solution

The fourth proportional to 105.52, 145.59 and 64.08 is: 88.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.52 : 145.59 = 64.08 : x
  2. Step 2: Convert to fraction form
    105.52/145.59 = 64.08/x
  3. Step 3: Cross multiply
    105.52x = 145.59 × 64.08
  4. Step 4: Simplify right side
    105.52x = 9,329.41
  5. Step 5: Solve for x
    x = 9,329.41/105.52
  6. Step 6: Final answer
    x = 88.41

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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.