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Finding the Fourth Proportional to 32.40, 48.56 and 14.08

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Solution

The fourth proportional to 32.40, 48.56 and 14.08 is: 21.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.40 : 48.56 = 14.08 : x
  2. Step 2: Convert to fraction form
    32.40/48.56 = 14.08/x
  3. Step 3: Cross multiply
    32.40x = 48.56 × 14.08
  4. Step 4: Simplify right side
    32.40x = 683.72
  5. Step 5: Solve for x
    x = 683.72/32.40
  6. Step 6: Final answer
    x = 21.10

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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.