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Finding the Fourth Proportional to 145.59, 218.35 and 41.46

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Solution

The fourth proportional to 145.59, 218.35 and 41.46 is: 62.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.59 : 218.35 = 41.46 : x
  2. Step 2: Convert to fraction form
    145.59/218.35 = 41.46/x
  3. Step 3: Cross multiply
    145.59x = 218.35 × 41.46
  4. Step 4: Simplify right side
    145.59x = 9,051.80
  5. Step 5: Solve for x
    x = 9,051.80/145.59
  6. Step 6: Final answer
    x = 62.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.