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Finding the Fourth Proportional to 99.63, 149.04 and 96.53

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Solution

The fourth proportional to 99.63, 149.04 and 96.53 is: 144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.63 : 149.04 = 96.53 : x
  2. Step 2: Convert to fraction form
    99.63/149.04 = 96.53/x
  3. Step 3: Cross multiply
    99.63x = 149.04 × 96.53
  4. Step 4: Simplify right side
    99.63x = 14,386.09
  5. Step 5: Solve for x
    x = 14,386.09/99.63
  6. Step 6: Final answer
    x = 144.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.