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Finding the Fourth Proportional to 98.99, 148.53 and 47.60

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Solution

The fourth proportional to 98.99, 148.53 and 47.60 is: 71.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.99 : 148.53 = 47.60 : x
  2. Step 2: Convert to fraction form
    98.99/148.53 = 47.60/x
  3. Step 3: Cross multiply
    98.99x = 148.53 × 47.60
  4. Step 4: Simplify right side
    98.99x = 7,069.29
  5. Step 5: Solve for x
    x = 7,069.29/98.99
  6. Step 6: Final answer
    x = 71.42

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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.