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Finding the Fourth Proportional to 98.69, 148.01 and 78.35

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Solution

The fourth proportional to 98.69, 148.01 and 78.35 is: 117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.69 : 148.01 = 78.35 : x
  2. Step 2: Convert to fraction form
    98.69/148.01 = 78.35/x
  3. Step 3: Cross multiply
    98.69x = 148.01 × 78.35
  4. Step 4: Simplify right side
    98.69x = 11,595.45
  5. Step 5: Solve for x
    x = 11,595.45/98.69
  6. Step 6: Final answer
    x = 117.50

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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.