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Finding the Fourth Proportional to 53.06, 78.98 and 46.98

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Solution

The fourth proportional to 53.06, 78.98 and 46.98 is: 69.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 78.98 = 46.98 : x
  2. Step 2: Convert to fraction form
    53.06/78.98 = 46.98/x
  3. Step 3: Cross multiply
    53.06x = 78.98 × 46.98
  4. Step 4: Simplify right side
    53.06x = 3,710.25
  5. Step 5: Solve for x
    x = 3,710.25/53.06
  6. Step 6: Final answer
    x = 69.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.