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Finding the Fourth Proportional to 99.01, 148.40 and 78.64

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Solution

The fourth proportional to 99.01, 148.40 and 78.64 is: 117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.01 : 148.40 = 78.64 : x
  2. Step 2: Convert to fraction form
    99.01/148.40 = 78.64/x
  3. Step 3: Cross multiply
    99.01x = 148.40 × 78.64
  4. Step 4: Simplify right side
    99.01x = 11,669.78
  5. Step 5: Solve for x
    x = 11,669.78/99.01
  6. Step 6: Final answer
    x = 117.86

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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.