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Finding the Fourth Proportional to 52.06, 78.06 and 21.60

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Solution

The fourth proportional to 52.06, 78.06 and 21.60 is: 32.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.06 : 78.06 = 21.60 : x
  2. Step 2: Convert to fraction form
    52.06/78.06 = 21.60/x
  3. Step 3: Cross multiply
    52.06x = 78.06 × 21.60
  4. Step 4: Simplify right side
    52.06x = 1,686.51
  5. Step 5: Solve for x
    x = 1,686.51/52.06
  6. Step 6: Final answer
    x = 32.40

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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.