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Finding the Fourth Proportional to 29.99, 45.00 and 9.70

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Solution

The fourth proportional to 29.99, 45.00 and 9.70 is: 14.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.99 : 45.00 = 9.70 : x
  2. Step 2: Convert to fraction form
    29.99/45.00 = 9.70/x
  3. Step 3: Cross multiply
    29.99x = 45.00 × 9.70
  4. Step 4: Simplify right side
    29.99x = 436.65
  5. Step 5: Solve for x
    x = 436.65/29.99
  6. Step 6: Final answer
    x = 14.56

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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.