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Finding the Fourth Proportional to 99.37, 148.43 and 96.64

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Solution

The fourth proportional to 99.37, 148.43 and 96.64 is: 144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.37 : 148.43 = 96.64 : x
  2. Step 2: Convert to fraction form
    99.37/148.43 = 96.64/x
  3. Step 3: Cross multiply
    99.37x = 148.43 × 96.64
  4. Step 4: Simplify right side
    99.37x = 14,343.60
  5. Step 5: Solve for x
    x = 14,343.60/99.37
  6. Step 6: Final answer
    x = 144.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.