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Finding the Fourth Proportional to 65.83, 90.80 and 45.07

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Solution

The fourth proportional to 65.83, 90.80 and 45.07 is: 62.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.83 : 90.80 = 45.07 : x
  2. Step 2: Convert to fraction form
    65.83/90.80 = 45.07/x
  3. Step 3: Cross multiply
    65.83x = 90.80 × 45.07
  4. Step 4: Simplify right side
    65.83x = 4,092.58
  5. Step 5: Solve for x
    x = 4,092.58/65.83
  6. Step 6: Final answer
    x = 62.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.