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Finding the Fourth Proportional to 99.02, 148.50 and 47.68

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Solution

The fourth proportional to 99.02, 148.50 and 47.68 is: 71.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.02 : 148.50 = 47.68 : x
  2. Step 2: Convert to fraction form
    99.02/148.50 = 47.68/x
  3. Step 3: Cross multiply
    99.02x = 148.50 × 47.68
  4. Step 4: Simplify right side
    99.02x = 7,080.48
  5. Step 5: Solve for x
    x = 7,080.48/99.02
  6. Step 6: Final answer
    x = 71.51

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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.