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Finding the Fourth Proportional to 24.40, 32.98 and 24.40

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Solution

The fourth proportional to 24.40, 32.98 and 24.40 is: 32.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.40 : 32.98 = 24.40 : x
  2. Step 2: Convert to fraction form
    24.40/32.98 = 24.40/x
  3. Step 3: Cross multiply
    24.40x = 32.98 × 24.40
  4. Step 4: Simplify right side
    24.40x = 804.71
  5. Step 5: Solve for x
    x = 804.71/24.40
  6. Step 6: Final answer
    x = 32.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.