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Finding the Fourth Proportional to 105.84, 145.99 and 64.40

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Solution

The fourth proportional to 105.84, 145.99 and 64.40 is: 88.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.84 : 145.99 = 64.40 : x
  2. Step 2: Convert to fraction form
    105.84/145.99 = 64.40/x
  3. Step 3: Cross multiply
    105.84x = 145.99 × 64.40
  4. Step 4: Simplify right side
    105.84x = 9,401.11
  5. Step 5: Solve for x
    x = 9,401.11/105.84
  6. Step 6: Final answer
    x = 88.82

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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.