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Finding the Fourth Proportional to 105.80, 145.98 and 64.34

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Solution

The fourth proportional to 105.80, 145.98 and 64.34 is: 88.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.80 : 145.98 = 64.34 : x
  2. Step 2: Convert to fraction form
    105.80/145.98 = 64.34/x
  3. Step 3: Cross multiply
    105.80x = 145.98 × 64.34
  4. Step 4: Simplify right side
    105.80x = 9,392.35
  5. Step 5: Solve for x
    x = 9,392.35/105.80
  6. Step 6: Final answer
    x = 88.77

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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.